319535797978656 has 576 divisors, whose sum is σ = 1117141457402880. Its totient is φ = 84602439567360.

The previous prime is 319535797978597. The next prime is 319535797978697. The reversal of 319535797978656 is 656879797535913.

319535797978656 is a `hidden beast` number, since 3 + 1 + 9 + 5 + 357 + 97 + 97 + 86 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671729311 + ... + 672204833.

It is an arithmetic number, because the mean of its divisors is an integer number (1939481696880).

Almost surely, 2^{319535797978656} is an apocalyptic number.

319535797978656 is a gapful number since it is divisible by the number (36) 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 319535797978656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558570728701440).

319535797978656 is an abundant number, since it is smaller than the sum of its proper divisors (797605659424224).

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

319535797978656 is a wasteful number, since it uses less digits than its factorization.

319535797978656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475949 (or 475938 counting only the distinct ones).

The product of its digits is 81015228000, while the sum is 90.

The spelling of 319535797978656 in words is "three hundred nineteen trillion, five hundred thirty-five billion, seven hundred ninety-seven million, nine hundred seventy-eight thousand, six hundred fifty-six".