318339112896 has 336 divisors, whose sum is σ = 1084594467840. Its totient is φ = 87372380160.

The previous prime is 318339112843. The next prime is 318339112901. The reversal of 318339112896 is 698211933813.

318339112896 is a `hidden beast` number, since 3 + 18 + 339 + 11 + 289 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×318339112896³ (a number of 35 digits) contains 333 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11772031 + ... + 11799041.

Almost surely, 2^318339112896 is an apocalyptic number.

318339112896 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 318339112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542297233920).

318339112896 is an abundant number, since it is smaller than the sum of its proper divisors (766255354944).

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

318339112896 is a wasteful number, since it uses less digits than its factorization.

318339112896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27152 (or 27139 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 318339112896 in words is "three hundred eighteen billion, three hundred thirty-nine million, one hundred twelve thousand, eight hundred ninety-six".