311495834138112 has 400 divisors, whose sum is σ = 1001387405770752. Its totient is φ = 95831812177920.

The previous prime is 311495834138087. The next prime is 311495834138119. The reversal of 311495834138112 is 211831438594113.

It is a happy number.

311495834138112 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 9 + 583 + 41 + 3 + 8 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311495834138119) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4416027708 + ... + 4416098244.

Almost surely, 2^{311495834138112} is an apocalyptic number.

311495834138112 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 311495834138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500693702885376).

311495834138112 is an abundant number, since it is smaller than the sum of its proper divisors (689891571632640).

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

311495834138112 is an equidigital number, since it uses as much as digits as its factorization.

311495834138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78771 (or 78746 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 311495834138112 in words is "three hundred eleven trillion, four hundred ninety-five billion, eight hundred thirty-four million, one hundred thirty-eight thousand, one hundred twelve".