14956395904 has 128 divisors (see below), whose sum is σ = 31770144000. Its totient is φ = 7001702400.

The previous prime is 14956395803. The next prime is 14956395931. The reversal of 14956395904 is 40959365941.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24240204 + ... + 24240820.

It is an arithmetic number, because the mean of its divisors is an integer number (248204250).

Almost surely, 2^14956395904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14956395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885072000).

14956395904 is an abundant number, since it is smaller than the sum of its proper divisors (16813748096).

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

14956395904 is a wasteful number, since it uses less digits than its factorization.

14956395904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 55.

The spelling of 14956395904 in words is "fourteen billion, nine hundred fifty-six million, three hundred ninety-five thousand, nine hundred four".