14951904768 has 240 divisors, whose sum is σ = 45685575936. Its totient is φ = 4697763840.

The previous prime is 14951904757. The next prime is 14951904797. The reversal of 14951904768 is 86740915941.

14951904768 is a `hidden beast` number, since 1 + 495 + 1 + 90 + 4 + 7 + 68 = 666.

It is a super-2 number, since 2×14951904768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7523871 + ... + 7525857.

Almost surely, 2^14951904768 is an apocalyptic number.

14951904768 is a gapful number since it is divisible by the number (18) 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 14951904768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22842787968).

14951904768 is an abundant number, since it is smaller than the sum of its proper divisors (30733671168).

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

14951904768 is a wasteful number, since it uses less digits than its factorization.

14951904768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 14951904768 in words is "fourteen billion, nine hundred fifty-one million, nine hundred four thousand, seven hundred sixty-eight".