311373912672 has 192 divisors, whose sum is σ = 921798984960. Its totient is φ = 102237852672.

The previous prime is 311373912671. The next prime is 311373912679. The reversal of 311373912672 is 276219373113.

311373912672 is a `hidden beast` number, since 3 + 11 + 373 + 9 + 1 + 267 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311373912671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 57203583 + ... + 57209025.

It is an arithmetic number, because the mean of its divisors is an integer number (4801036380).

Almost surely, 2^311373912672 is an apocalyptic number.

311373912672 is a gapful number since it is divisible by the number (32) 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 311373912672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460899492480).

311373912672 is an abundant number, since it is smaller than the sum of its proper divisors (610425072288).

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

311373912672 is a wasteful number, since it uses less digits than its factorization.

311373912672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6442 (or 6428 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The spelling of 311373912672 in words is "three hundred eleven billion, three hundred seventy-three million, nine hundred twelve thousand, six hundred seventy-two".