14957042688 has 528 divisors, whose sum is σ = 53027846144. Its totient is φ = 4120657920.

The previous prime is 14957042677. The next prime is 14957042747. The reversal of 14957042688 is 88624075941.

It is a happy number.

14957042688 is a `hidden beast` number, since 1 + 4 + 9 + 570 + 4 + 2 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53996406 + ... + 53996682.

Almost surely, 2^14957042688 is an apocalyptic number.

14957042688 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 14957042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26513923072).

14957042688 is an abundant number, since it is smaller than the sum of its proper divisors (38070803456).

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

14957042688 is an equidigital number, since it uses as much as digits as its factorization.

14957042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 14957042688 in words is "fourteen billion, nine hundred fifty-seven million, forty-two thousand, six hundred eighty-eight".