82382949376 has 528 divisors, whose sum is σ = 223614935040. Its totient is φ = 29501521920.

The previous prime is 82382949367. The next prime is 82382949457. The reversal of 82382949376 is 67394928328.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042822105 + ... + 1042822183.

Almost surely, 2^82382949376 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 82382949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111807467520).

82382949376 is an abundant number, since it is smaller than the sum of its proper divisors (141231985664).

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

82382949376 is a wasteful number, since it uses less digits than its factorization.

82382949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 151 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 61.

The spelling of 82382949376 in words is "eighty-two billion, three hundred eighty-two million, nine hundred forty-nine thousand, three hundred seventy-six".