14796800000 has 270 divisors, whose sum is σ = 39292285914. Its totient is φ = 5570560000.

The previous prime is 14796799991. The next prime is 14796800023. The reversal of 14796800000 is 869741.

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 9 ways, for example, as 13212123136 + 1584676864 = 114944^2 + 39808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 870399992 + ... + 870400008.

Almost surely, 2^14796800000 is an apocalyptic number.

14796800000 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 14796800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19646142957).

14796800000 is an abundant number, since it is smaller than the sum of its proper divisors (24495485914).

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

14796800000 is an frugal number, since it uses more digits than its factorization.

14796800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The spelling of 14796800000 in words is "fourteen billion, seven hundred ninety-six million, eight hundred thousand".