82812848944 has 320 divisors, whose sum is σ = 202035068928. Its totient is φ = 32136652800.

The previous prime is 82812848939. The next prime is 82812848971. The reversal of 82812848944 is 44984821828.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508054207 + ... + 508054369.

Almost surely, 2^82812848944 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 82812848944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101017534464).

82812848944 is an abundant number, since it is smaller than the sum of its proper divisors (119222219984).

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

82812848944 is a wasteful number, since it uses less digits than its factorization.

82812848944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its digits is 9437184, while the sum is 58.

The spelling of 82812848944 in words is "eighty-two billion, eight hundred twelve million, eight hundred forty-eight thousand, nine hundred forty-four".