313684264080 has 480 divisors, whose sum is σ = 1160177136768. Its totient is φ = 75324211200.

The previous prime is 313684264043. The next prime is 313684264111. The reversal of 313684264080 is 80462486313.

It is a super-2 number, since 2×313684264080² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 563167162 + ... + 563167718.

Almost surely, 2^313684264080 is an apocalyptic number.

313684264080 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 313684264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580088568384).

313684264080 is an abundant number, since it is smaller than the sum of its proper divisors (846492872688).

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

313684264080 is a wasteful number, since it uses less digits than its factorization.

313684264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 313684264080 in words is "three hundred thirteen billion, six hundred eighty-four million, two hundred sixty-four thousand, eighty".