382715100064 has 96 divisors (see below), whose sum is σ = 850592534400. Its totient is φ = 167907210240.

The previous prime is 382715100017. The next prime is 382715100071. The reversal of 382715100064 is 460001517283.

It is a junction number, because it is equal to n+sod(n) for n = 382715099996 and 382715100032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53455717 + ... + 53462875.

It is an arithmetic number, because the mean of its divisors is an integer number (8860338900).

Almost surely, 2^382715100064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382715100064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425296267200).

382715100064 is an abundant number, since it is smaller than the sum of its proper divisors (467877434336).

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

382715100064 is a wasteful number, since it uses less digits than its factorization.

382715100064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12446 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 382715100064 in words is "three hundred eighty-two billion, seven hundred fifteen million, one hundred thousand, sixty-four".