382146725520 has 240 divisors, whose sum is σ = 1470065076480. Its totient is φ = 87148348416.

The previous prime is 382146725503. The next prime is 382146725531. The reversal of 382146725520 is 25527641283.

382146725520 is a `hidden beast` number, since 3 + 8 + 21 + 4 + 6 + 72 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×382146725520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2126202 + ... + 2298918.

It is an arithmetic number, because the mean of its divisors is an integer number (6125271152).

Almost surely, 2^382146725520 is an apocalyptic number.

382146725520 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 382146725520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735032538240).

382146725520 is an abundant number, since it is smaller than the sum of its proper divisors (1087918350960).

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

382146725520 is a wasteful number, since it uses less digits than its factorization.

382146725520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173182 (or 173173 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 382146725520 in words is "three hundred eighty-two billion, one hundred forty-six million, seven hundred twenty-five thousand, five hundred twenty".