313286268672 has 504 divisors, whose sum is σ = 1018075724400. Its totient is φ = 95599263744.

The previous prime is 313286268587. The next prime is 313286268679. The reversal of 313286268672 is 276862682313.

313286268672 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 8 + 626 + 8 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×313286268672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313286268679) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 337229104 + ... + 337230032.

Almost surely, 2^313286268672 is an apocalyptic number.

313286268672 is a gapful number since it is divisible by the number (32) 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 313286268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509037862200).

313286268672 is an abundant number, since it is smaller than the sum of its proper divisors (704789455728).

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

313286268672 is an equidigital number, since it uses as much as digits as its factorization.

313286268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1086 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 313286268672 in words is "three hundred thirteen billion, two hundred eighty-six million, two hundred sixty-eight thousand, six hundred seventy-two".