311325602112 has 560 divisors, whose sum is σ = 1110637262592. Its totient is φ = 84304281600.

The previous prime is 311325602111. The next prime is 311325602123. The reversal of 311325602112 is 211206523113.

311325602112 is a `hidden beast` number, since 3 + 11 + 32 + 5 + 602 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311325602111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94310862 + ... + 94314162.

Almost surely, 2^311325602112 is an apocalyptic number.

311325602112 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 311325602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555318631296).

311325602112 is an abundant number, since it is smaller than the sum of its proper divisors (799311660480).

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

311325602112 is a wasteful number, since it uses less digits than its factorization.

311325602112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 311325602112 in words is "three hundred eleven billion, three hundred twenty-five million, six hundred two thousand, one hundred twelve".