311981703264 has 864 divisors, whose sum is σ = 1165606041600. Its totient is φ = 79019297280.

The previous prime is 311981703247. The next prime is 311981703289. The reversal of 311981703264 is 462307189113.

311981703264 is a `hidden beast` number, since 31 + 198 + 170 + 3 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 513972849 + ... + 513973455.

Almost surely, 2^311981703264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311981703264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582803020800).

311981703264 is an abundant number, since it is smaller than the sum of its proper divisors (853624338336).

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

311981703264 is a wasteful number, since it uses less digits than its factorization.

311981703264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 311981703264 in words is "three hundred eleven billion, nine hundred eighty-one million, seven hundred three thousand, two hundred sixty-four".