313424433972 has 108 divisors (see below), whose sum is σ = 881622994980. Its totient is φ = 93327240960.

The previous prime is 313424433943. The next prime is 313424433989. The reversal of 313424433972 is 279334424313.

313424433972 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 244 + 339 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41028122916 + 272396311056 = 202554^2 + 521916^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101304 + ... + 798192.

Almost surely, 2^313424433972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313424433972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440811497490).

313424433972 is an abundant number, since it is smaller than the sum of its proper divisors (568198561008).

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

313424433972 is a wasteful number, since it uses less digits than its factorization.

313424433972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696974 (or 696938 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The spelling of 313424433972 in words is "three hundred thirteen billion, four hundred twenty-four million, four hundred thirty-three thousand, nine hundred seventy-two".