313361026772352 has 256 divisors, whose sum is σ = 905971386432000. Its totient is φ = 95961761925120.

The previous prime is 313361026772347. The next prime is 313361026772407. The reversal of 313361026772352 is 253277620163313.

It is a super-2 number, since 2×313361026772352² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313361026772295 and 313361026772304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177129549 + ... + 178889907.

It is an arithmetic number, because the mean of its divisors is an integer number (3538950728250).

Almost surely, 2^{313361026772352} is an apocalyptic number.

313361026772352 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 313361026772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452985693216000).

313361026772352 is an abundant number, since it is smaller than the sum of its proper divisors (592610359659648).

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

313361026772352 is a wasteful number, since it uses less digits than its factorization.

313361026772352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760626 (or 1760588 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 51.

The spelling of 313361026772352 in words is "three hundred thirteen trillion, three hundred sixty-one billion, twenty-six million, seven hundred seventy-two thousand, three hundred fifty-two".