311397875712 has 768 divisors, whose sum is σ = 1172646590400. Its totient is φ = 80758702080.

The previous prime is 311397875689. The next prime is 311397875713. The reversal of 311397875712 is 217578793113.

311397875712 is a `hidden beast` number, since 31 + 1 + 39 + 7 + 8 + 7 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (311397875713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476872378 + ... + 476873030.

Almost surely, 2^311397875712 is an apocalyptic number.

311397875712 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 311397875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586323295200).

311397875712 is an abundant number, since it is smaller than the sum of its proper divisors (861248714688).

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

311397875712 is an equidigital number, since it uses as much as digits as its factorization.

311397875712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 676 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 54.

The spelling of 311397875712 in words is "three hundred eleven billion, three hundred ninety-seven million, eight hundred seventy-five thousand, seven hundred twelve".