382237180416 has 1440 divisors, whose sum is σ = 1471912041600. Its totient is φ = 98907734016.

The previous prime is 382237180321. The next prime is 382237180471. The reversal of 382237180416 is 614081732283.

382237180416 is a `hidden beast` number, since 3 + 8 + 22 + 37 + 180 + 416 = 666.

It is a super-2 number, since 2×382237180416² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7212022246 + ... + 7212022298.

It is an arithmetic number, because the mean of its divisors is an integer number (1022161140).

Almost surely, 2^382237180416 is an apocalyptic number.

382237180416 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 382237180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735956020800).

382237180416 is an abundant number, since it is smaller than the sum of its proper divisors (1089674861184).

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

382237180416 is an frugal number, since it uses more digits than its factorization.

382237180416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 382237180416 in words is "three hundred eighty-two billion, two hundred thirty-seven million, one hundred eighty thousand, four hundred sixteen".