313534633624056 has 256 divisors, whose sum is σ = 950271866140800. Its totient is φ = 96394119621120.

The previous prime is 313534633623971. The next prime is 313534633624057. The reversal of 313534633624056 is 650426336435313.

313534633624056 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 3 + 4 + 6 + 3 + 3 + 624 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×313534633624056² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 313534633623993 and 313534633624011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313534633624057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280795986 + ... + 281910366.

Almost surely, 2^{313534633624056} is an apocalyptic number.

313534633624056 is a gapful number since it is divisible by the number (36) 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 313534633624056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475135933070400).

313534633624056 is an abundant number, since it is smaller than the sum of its proper divisors (636737232516744).

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

313534633624056 is a wasteful number, since it uses less digits than its factorization.

313534633624056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115658 (or 1115636 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 54.

The spelling of 313534633624056 in words is "three hundred thirteen trillion, five hundred thirty-four billion, six hundred thirty-three million, six hundred twenty-four thousand, fifty-six".