2321332582464 has 315 divisors, whose sum is σ = 8007259962207. Its totient is φ = 663018483456.

The previous prime is 2321332582453. The next prime is 2321332582483. The reversal of 2321332582464 is 4642852331232.

The square root of 2321332582464 is 1523592.

It is a perfect power (a square), and thus also a powerful number.

2321332582464 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 3 + 3 + 2 + 582 + 4 + 64 = 666.

It is a super-2 number, since 2×2321332582464² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 767888857 + ... + 767891879.

Almost surely, 2^{2321332582464} is an apocalyptic number.

2321332582464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2321332582464 is the 1523592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321332582464

2321332582464 is an abundant number, since it is smaller than the sum of its proper divisors (5685927379743).

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

2321332582464 is an frugal number, since it uses more digits than its factorization.

2321332582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084 (or 3035 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 2321332582464 in words is "two trillion, three hundred twenty-one billion, three hundred thirty-two million, five hundred eighty-two thousand, four hundred sixty-four".