311976645120 has 1600 divisors, whose sum is σ = 1386052715520. Its totient is φ = 65442152448.

The previous prime is 311976645119. The next prime is 311976645143. The reversal of 311976645120 is 21546679113.

311976645120 is a `hidden beast` number, since 3 + 1 + 1 + 9 + 76 + 64 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1159764346 + ... + 1159764614.

Almost surely, 2^311976645120 is an apocalyptic number.

311976645120 is a gapful number since it is divisible by the number (30) 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 311976645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693026357760).

311976645120 is an abundant number, since it is smaller than the sum of its proper divisors (1074076070400).

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

311976645120 is a wasteful number, since it uses less digits than its factorization.

311976645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 311976645120 in words is "three hundred eleven billion, nine hundred seventy-six million, six hundred forty-five thousand, one hundred twenty".