311214951868920 has 128 divisors (see below), whose sum is σ = 1018528035344640. Its totient is φ = 75445576739840.

The previous prime is 311214951868889. The next prime is 311214951868981. The reversal of 311214951868920 is 29868159412113.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 239985379 + ... + 241278701.

It is an arithmetic number, because the mean of its divisors is an integer number (7957250276130).

Almost surely, 2^{311214951868920} is an apocalyptic number.

311214951868920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311214951868920 is an abundant number, since it is smaller than the sum of its proper divisors (707313083475720).

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

311214951868920 is a wasteful number, since it uses less digits than its factorization.

311214951868920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475645 (or 1475641 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 311214951868920 in words is "three hundred eleven trillion, two hundred fourteen billion, nine hundred fifty-one million, eight hundred sixty-eight thousand, nine hundred twenty".