311216720364 has 216 divisors, whose sum is σ = 907034978304. Its totient is φ = 89136936000.

The previous prime is 311216720357. The next prime is 311216720377. The reversal of 311216720364 is 463027612113.

311216720364 is a `hidden beast` number, since 3 + 11 + 216 + 72 + 0 + 364 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22691469 + ... + 22705179.

Almost surely, 2^311216720364 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 311216720364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453517489152).

311216720364 is an abundant number, since it is smaller than the sum of its proper divisors (595818257940).

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

311216720364 is a wasteful number, since it uses less digits than its factorization.

311216720364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13849 (or 13801 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 311216720364 in words is "three hundred eleven billion, two hundred sixteen million, seven hundred twenty thousand, three hundred sixty-four".