313449937956 has 81 divisors (see below), whose sum is σ = 828482998161. Its totient is φ = 99915925824.

The previous prime is 313449937949. The next prime is 313449937993. The reversal of 313449937956 is 659739944313.

The square root of 313449937956 is 559866.

It is a perfect power (a square), and thus also a powerful number.

313449937956 is a `hidden beast` number, since 3 + 13 + 449 + 93 + 7 + 95 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 160712792100 + 152737145856 = 400890^2 + 390816^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313449937893 and 313449937902.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77259480 + ... + 77263536.

Almost surely, 2^313449937956 is an apocalyptic number.

313449937956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

313449937956 is the 559866-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313449937956

313449937956 is an abundant number, since it is smaller than the sum of its proper divisors (515033060205).

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

313449937956 is an equidigital number, since it uses as much as digits as its factorization.

313449937956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8170 (or 4085 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 63.

The spelling of 313449937956 in words is "three hundred thirteen billion, four hundred forty-nine million, nine hundred thirty-seven thousand, nine hundred fifty-six".