128792914458624 has 768 divisors, whose sum is σ = 419112937152000. Its totient is φ = 38837008465920.

The previous prime is 128792914458583. The next prime is 128792914458647. The reversal of 128792914458624 is 426854419297821.

128792914458624 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 9 + 2 + 9 + 14 + 4 + 586 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×128792914458624² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14292850279 + ... + 14292859289.

It is an arithmetic number, because the mean of its divisors is an integer number (545719970250).

Almost surely, 2^{128792914458624} 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 128792914458624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209556468576000).

128792914458624 is an abundant number, since it is smaller than the sum of its proper divisors (290320022693376).

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

128792914458624 is a wasteful number, since it uses less digits than its factorization.

128792914458624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9451 (or 9425 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 128792914458624 in words is "one hundred twenty-eight trillion, seven hundred ninety-two billion, nine hundred fourteen million, four hundred fifty-eight thousand, six hundred twenty-four".