128331049896 has 512 divisors, whose sum is σ = 460588032000. Its totient is φ = 32223744000.

The previous prime is 128331049871. The next prime is 128331049907. The reversal of 128331049896 is 698940133821.

128331049896 is a `hidden beast` number, since 1 + 28 + 33 + 10 + 498 + 96 = 666.

It is a super-2 number, since 2×128331049896² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34672846 + ... + 34676546.

It is an arithmetic number, because the mean of its divisors is an integer number (899586000).

Almost surely, 2^128331049896 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 128331049896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230294016000).

128331049896 is an abundant number, since it is smaller than the sum of its proper divisors (332256982104).

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

128331049896 is a wasteful number, since it uses less digits than its factorization.

128331049896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 128331049896 in words is "one hundred twenty-eight billion, three hundred thirty-one million, forty-nine thousand, eight hundred ninety-six".