14794920000 has 1120 divisors, whose sum is σ = 66018867200. Its totient is φ = 3172608000.

The previous prime is 14794919983. The next prime is 14794920061. The reversal of 14794920000 is 2949741.

It is a tau number, because it is divible by the number of its divisors (1120).

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

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 159 ways as a sum of consecutive naturals, for example, 143639949 + ... + 143640051.

Almost surely, 2^14794920000 is an apocalyptic number.

14794920000 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 14794920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33009433600).

14794920000 is an abundant number, since it is smaller than the sum of its proper divisors (51223947200).

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

14794920000 is a wasteful number, since it uses less digits than its factorization.

14794920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 14794920000 in words is "fourteen billion, seven hundred ninety-four million, nine hundred twenty thousand".