382063892152320 has 2400 divisors, whose sum is σ = 1671652965362688. Its totient is φ = 81579567218688.

The previous prime is 382063892152279. The next prime is 382063892152333. The reversal of 382063892152320 is 23251298360283.

382063892152320 is a `hidden beast` number, since 3 + 8 + 2 + 0 + 6 + 3 + 8 + 92 + 1 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45937700802 + ... + 45937709118.

Almost surely, 2^{382063892152320} is an apocalyptic number.

382063892152320 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 382063892152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835826482681344).

382063892152320 is an abundant number, since it is smaller than the sum of its proper divisors (1289589073210368).

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

382063892152320 is an equidigital number, since it uses as much as digits as its factorization.

382063892152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8435 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 382063892152320 in words is "three hundred eighty-two trillion, sixty-three billion, eight hundred ninety-two million, one hundred fifty-two thousand, three hundred twenty".