316114868160 has 1344 divisors, whose sum is σ = 1471057459200. Its totient is φ = 63165505536.

The previous prime is 316114868159. The next prime is 316114868183. The reversal of 316114868160 is 61868411613.

316114868160 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 1 + 486 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104568409 + ... + 104571431.

It is an arithmetic number, because the mean of its divisors is an integer number (1094536800).

Almost surely, 2^316114868160 is an apocalyptic number.

316114868160 is a gapful number since it is divisible by the number (30) 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 316114868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735528729600).

316114868160 is an abundant number, since it is smaller than the sum of its proper divisors (1154942591040).

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

316114868160 is a wasteful number, since it uses less digits than its factorization.

316114868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3072 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 316114868160 in words is "three hundred sixteen billion, one hundred fourteen million, eight hundred sixty-eight thousand, one hundred sixty".