382311606347072 has 56 divisors (see below), whose sum is σ = 810384678329256. Its totient is φ = 178319208316928.

The previous prime is 382311606346973. The next prime is 382311606347149. The reversal of 382311606347072 is 270743606113283.

It can be written as a sum of positive squares in 4 ways, for example, as 262988454976 + 382048617892096 = 512824^2 + 19546064^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1554697163 + ... + 1554943050.

Almost surely, 2^{382311606347072} is an apocalyptic number.

382311606347072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

382311606347072 is an abundant number, since it is smaller than the sum of its proper divisors (428073071982184).

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

382311606347072 is a wasteful number, since it uses less digits than its factorization.

382311606347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109640355 (or 3109640345 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 53.

The spelling of 382311606347072 in words is "three hundred eighty-two trillion, three hundred eleven billion, six hundred six million, three hundred forty-seven thousand, seventy-two".