82913808384 has 312 divisors, whose sum is σ = 270984753312. Its totient is φ = 25122078720.

The previous prime is 82913808371. The next prime is 82913808403. The reversal of 82913808384 is 48380831928.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 82913808384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10944822 + ... + 10952394.

It is an arithmetic number, because the mean of its divisors is an integer number (868540876).

Almost surely, 2^82913808384 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 82913808384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135492376656).

82913808384 is an abundant number, since it is smaller than the sum of its proper divisors (188070944928).

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

82913808384 is an equidigital number, since it uses as much as digits as its factorization.

82913808384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 82913808384 in words is "eighty-two billion, nine hundred thirteen million, eight hundred eight thousand, three hundred eighty-four".