14929920000000 has 1064 divisors, whose sum is σ = 55961350000296. Its totient is φ = 3981312000000.

The previous prime is 14929919999977. The next prime is 14929920000013. The reversal of 14929920000000 is 2992941.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 14769202397184 + 160717602816 = 3843072^2 + 400896^2 .

It is a super-2 number, since 2×14929920000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14929920000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2985983999998 + ... + 2985984000002.

Almost surely, 2^{14929920000000} is an apocalyptic number.

14929920000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14929920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27980675000148).

14929920000000 is an abundant number, since it is smaller than the sum of its proper divisors (41031430000296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14929920000000 is an frugal number, since it uses more digits than its factorization.

14929920000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

14929920000000 divided by its product of nonzero digits (11664) gives a 7-th power (1280000000 = 20⁷).

Adding to 14929920000000 its reverse (2992941), we get a palindrome (14929922992941).

The spelling of 14929920000000 in words is "fourteen trillion, nine hundred twenty-nine billion, nine hundred twenty million", and thus it is an aban number.