311606461951956 has 144 divisors (see below), whose sum is σ = 794481587739840. Its totient is φ = 102972485191680.

The previous prime is 311606461951921. The next prime is 311606461951963. The reversal of 311606461951956 is 659159164606113.

311606461951956 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 0 + 6 + 4 + 61 + 9 + 519 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 311606461951893 and 311606461951902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24775891140 + ... + 24775903716.

Almost surely, 2^{311606461951956} is an apocalyptic number.

311606461951956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

311606461951956 is an abundant number, since it is smaller than the sum of its proper divisors (482875125787884).

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

311606461951956 is a wasteful number, since it uses less digits than its factorization.

311606461951956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17574 (or 17569 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 311606461951956 in words is "three hundred eleven trillion, six hundred six billion, four hundred sixty-one million, nine hundred fifty-one thousand, nine hundred fifty-six".