14939790264 has 288 divisors, whose sum is σ = 49625690400. Its totient is φ = 3976335360.

The previous prime is 14939790241. The next prime is 14939790319. The reversal of 14939790264 is 46209793941.

14939790264 is a `hidden beast` number, since 1 + 493 + 9 + 7 + 90 + 2 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14939790264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15876034 + ... + 15876974.

It is an arithmetic number, because the mean of its divisors is an integer number (172311425).

Almost surely, 2^14939790264 is an apocalyptic number.

14939790264 is a gapful number since it is divisible by the number (14) 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 14939790264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24812845200).

14939790264 is an abundant number, since it is smaller than the sum of its proper divisors (34685900136).

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

14939790264 is a wasteful number, since it uses less digits than its factorization.

14939790264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 14939790264 in words is "fourteen billion, nine hundred thirty-nine million, seven hundred ninety thousand, two hundred sixty-four".