313214791680 has 1144 divisors, whose sum is σ = 1323314632032. Its totient is φ = 69657034752.

The previous prime is 313214791663. The next prime is 313214791727. The reversal of 313214791680 is 86197412313.

313214791680 is a `hidden beast` number, since 3 + 13 + 2 + 1 + 479 + 168 + 0 = 666.

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 87 ways as a sum of consecutive naturals, for example, 8465264622 + ... + 8465264658.

Almost surely, 2^313214791680 is an apocalyptic number.

313214791680 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 313214791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661657316016).

313214791680 is an abundant number, since it is smaller than the sum of its proper divisors (1010099840352).

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

313214791680 is an frugal number, since it uses more digits than its factorization.

313214791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 313214791680 in words is "three hundred thirteen billion, two hundred fourteen million, seven hundred ninety-one thousand, six hundred eighty".