128331620352 has 896 divisors, whose sum is σ = 451384416000. Its totient is φ = 36118462464.

The previous prime is 128331620311. The next prime is 128331620363. The reversal of 128331620352 is 253026133821.

128331620352 is a `hidden beast` number, since 1 + 28 + 3 + 3 + 1 + 620 + 3 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4425228274 + ... + 4425228302.

It is an arithmetic number, because the mean of its divisors is an integer number (503777250).

Almost surely, 2^128331620352 is an apocalyptic number.

128331620352 is a gapful number since it is divisible by the number (12) 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 128331620352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225692208000).

128331620352 is an abundant number, since it is smaller than the sum of its proper divisors (323052795648).

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

128331620352 is an frugal number, since it uses more digits than its factorization.

128331620352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 128331620352 in words is "one hundred twenty-eight billion, three hundred thirty-one million, six hundred twenty thousand, three hundred fifty-two".