382332165120 has 704 divisors, whose sum is σ = 1477884216960. Its totient is φ = 93343186944.

The previous prime is 382332165113. The next prime is 382332165139. The reversal of 382332165120 is 21561233283.

It is a super-2 number, since 2×382332165120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 86950762 + ... + 86955158.

Almost surely, 2^382332165120 is an apocalyptic number.

382332165120 is a gapful number since it is divisible by the number (30) 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 382332165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738942108480).

382332165120 is an abundant number, since it is smaller than the sum of its proper divisors (1095552051840).

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

382332165120 is a wasteful number, since it uses less digits than its factorization.

382332165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485 (or 4461 counting only the distinct ones).

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

The spelling of 382332165120 in words is "three hundred eighty-two billion, three hundred thirty-two million, one hundred sixty-five thousand, one hundred twenty".