311361924132 has 240 divisors, whose sum is σ = 947354728320. Its totient is φ = 87328378368.

The previous prime is 311361924131. The next prime is 311361924169. The reversal of 311361924132 is 231429163113.

311361924132 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 619 + 2 + 4 + 1 + 32 = 666.

311361924132 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (311361924131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 135550408 + ... + 135552704.

It is an arithmetic number, because the mean of its divisors is an integer number (3947311368).

Almost surely, 2^311361924132 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 311361924132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473677364160).

311361924132 is an abundant number, since it is smaller than the sum of its proper divisors (635992804188).

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

311361924132 is a wasteful number, since it uses less digits than its factorization.

311361924132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3381 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 311361924132 in words is "three hundred eleven billion, three hundred sixty-one million, nine hundred twenty-four thousand, one hundred thirty-two".