383328912960 has 252 divisors, whose sum is σ = 1533756262428. Its totient is φ = 87618004992.

The previous prime is 383328912949. The next prime is 383328912961. The reversal of 383328912960 is 69219823383.

It is a happy number.

383328912960 is a `hidden beast` number, since 383 + 3 + 2 + 89 + 129 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69038613504 + 314290299456 = 262752^2 + 560616^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×383328912960² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 383328912897 and 383328912906.

It is not an unprimeable number, because it can be changed into a prime (383328912961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1217047 + ... + 1499286.

Almost surely, 2^383328912960 is an apocalyptic number.

383328912960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

383328912960 is an abundant number, since it is smaller than the sum of its proper divisors (1150427349468).

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

383328912960 is a wasteful number, since it uses less digits than its factorization.

383328912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716370 (or 2716350 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 383328912960 in words is "three hundred eighty-three billion, three hundred twenty-eight million, nine hundred twelve thousand, nine hundred sixty".