382302416496 has 1280 divisors, whose sum is σ = 1441699725312. Its totient is φ = 84130099200.

The previous prime is 382302416459. The next prime is 382302416501. The reversal of 382302416496 is 694614203283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3010255185 + ... + 3010255311.

Almost surely, 2^382302416496 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 382302416496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720849862656).

382302416496 is an abundant number, since it is smaller than the sum of its proper divisors (1059397308816).

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

382302416496 is a wasteful number, since it uses less digits than its factorization.

382302416496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 382302416496 in words is "three hundred eighty-two billion, three hundred two million, four hundred sixteen thousand, four hundred ninety-six".