311740091712 has 756 divisors, whose sum is σ = 1119662500320. Its totient is φ = 82453883904.

The previous prime is 311740091699. The next prime is 311740091717. The reversal of 311740091712 is 217190047113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311740091717) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 1866707053 + ... + 1866707219.

Almost surely, 2^311740091712 is an apocalyptic number.

311740091712 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 311740091712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559831250160).

311740091712 is an abundant number, since it is smaller than the sum of its proper divisors (807922408608).

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

311740091712 is a wasteful number, since it uses less digits than its factorization.

311740091712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 311740091712 in words is "three hundred eleven billion, seven hundred forty million, ninety-one thousand, seven hundred twelve".