382280421010176 has 648 divisors, whose sum is σ = 1258700570487360. Its totient is φ = 115630917562368.

The previous prime is 382280421010157. The next prime is 382280421010181. The reversal of 382280421010176 is 671010124082283.

382280421010176 is a `hidden beast` number, since 3 + 82 + 2 + 80 + 421 + 0 + 1 + 0 + 1 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×382280421010176² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619967815 + ... + 620584121.

Almost surely, 2^{382280421010176} is an apocalyptic number.

382280421010176 is a gapful number since it is divisible by the number (36) 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 382280421010176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629350285243680).

382280421010176 is an abundant number, since it is smaller than the sum of its proper divisors (876420149477184).

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

382280421010176 is an equidigital number, since it uses as much as digits as its factorization.

382280421010176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616423 (or 616384 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 382280421010176 in words is "three hundred eighty-two trillion, two hundred eighty billion, four hundred twenty-one million, ten thousand, one hundred seventy-six".