128974576896 has 216 divisors, whose sum is σ = 406042693056. Its totient is φ = 39047454720.

The previous prime is 128974576883. The next prime is 128974576901. The reversal of 128974576896 is 698675479821.

128974576896 is a `hidden beast` number, since 1 + 2 + 8 + 97 + 457 + 6 + 89 + 6 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44426581 + ... + 44429483.

Almost surely, 2^128974576896 is an apocalyptic number.

128974576896 is a gapful number since it is divisible by the number (16) 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 128974576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203021346528).

128974576896 is an abundant number, since it is smaller than the sum of its proper divisors (277068116160).

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

128974576896 is a wasteful number, since it uses less digits than its factorization.

128974576896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4689 (or 4672 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 128974576896 in words is "one hundred twenty-eight billion, nine hundred seventy-four million, five hundred seventy-six thousand, eight hundred ninety-six".