79313838912 has 1008 divisors, whose sum is σ = 308863691136. Its totient is φ = 18977587200.

The previous prime is 79313838853. The next prime is 79313838941. The reversal of 79313838912 is 21983831397.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 605449087 + ... + 605449217.

It is an arithmetic number, because the mean of its divisors is an integer number (306412392).

Almost surely, 2^79313838912 is an apocalyptic number.

79313838912 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79313838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154431845568).

79313838912 is an abundant number, since it is smaller than the sum of its proper divisors (229549852224).

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

79313838912 is a wasteful number, since it uses less digits than its factorization.

79313838912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 244 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 79313838912 in words is "seventy-nine billion, three hundred thirteen million, eight hundred thirty-eight thousand, nine hundred twelve".