313674387068800 has 192 divisors, whose sum is σ = 776516845500000. Its totient is φ = 125203779624960.

The previous prime is 313674387068789. The next prime is 313674387068851. The reversal of 313674387068800 is 8860783476313.

It is a super-2 number, since 2×313674387068800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15227640901 + ... + 15227661499.

Almost surely, 2^{313674387068800} 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 313674387068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388258422750000).

313674387068800 is an abundant number, since it is smaller than the sum of its proper divisors (462842458431200).

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

313674387068800 is a wasteful number, since it uses less digits than its factorization.

313674387068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30481 (or 30464 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 313674387068800 in words is "three hundred thirteen trillion, six hundred seventy-four billion, three hundred eighty-seven million, sixty-eight thousand, eight hundred".