313142745168 has 240 divisors, whose sum is σ = 970502330304. Its totient is φ = 93466275840.

The previous prime is 313142745127. The next prime is 313142745173. The reversal of 313142745168 is 861547241313.

313142745168 is a `hidden beast` number, since 3 + 1 + 314 + 274 + 5 + 1 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 29170330 + ... + 29181062.

Almost surely, 2^313142745168 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 313142745168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485251165152).

313142745168 is an abundant number, since it is smaller than the sum of its proper divisors (657359585136).

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

313142745168 is a wasteful number, since it uses less digits than its factorization.

313142745168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11034 (or 11025 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 313142745168 in words is "three hundred thirteen billion, one hundred forty-two million, seven hundred forty-five thousand, one hundred sixty-eight".