313403792436 has 288 divisors, whose sum is σ = 1027037491200. Its totient is φ = 82093798080.

The previous prime is 313403792411. The next prime is 313403792461. The reversal of 313403792436 is 634297304313.

It is a happy number.

313403792436 is a `hidden beast` number, since 3 + 1 + 34 + 0 + 379 + 243 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (313403792411) and next prime (313403792461).

It is a super-2 number, since 2×313403792436² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313403792391 and 313403792400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3066715 + ... + 3167261.

It is an arithmetic number, because the mean of its divisors is an integer number (3566102400).

Almost surely, 2^313403792436 is an apocalyptic number.

313403792436 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 313403792436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513518745600).

313403792436 is an abundant number, since it is smaller than the sum of its proper divisors (713633698764).

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

313403792436 is a wasteful number, since it uses less digits than its factorization.

313403792436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100624 (or 100609 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 313403792436 in words is "three hundred thirteen billion, four hundred three million, seven hundred ninety-two thousand, four hundred thirty-six".