382255319824 has 135 divisors (see below), whose sum is σ = 876661231143. Its totient is φ = 160996987200.

The previous prime is 382255319813. The next prime is 382255319863. The reversal of 382255319824 is 428913552283.

The square root of 382255319824 is 618268.

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

It is a super-2 number, since 2×382255319824² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1229116629 + ... + 1229116939.

Almost surely, 2^382255319824 is an apocalyptic number.

382255319824 is the 618268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382255319824

382255319824 is an abundant number, since it is smaller than the sum of its proper divisors (494405911319).

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

382255319824 is an frugal number, since it uses more digits than its factorization.

382255319824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 391 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 52.

The spelling of 382255319824 in words is "three hundred eighty-two billion, two hundred fifty-five million, three hundred nineteen thousand, eight hundred twenty-four".