31164540665412 has 288 divisors, whose sum is σ = 97722981328896. Its totient is φ = 7617330201600.

The previous prime is 31164540665341. The next prime is 31164540665437. The reversal of 31164540665412 is 21456604546113.

It is a super-2 number, since 2×31164540665412² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 845213337 + ... + 845250207.

It is an arithmetic number, because the mean of its divisors is an integer number (339315907392).

Almost surely, 2^{31164540665412} 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 31164540665412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48861490664448).

31164540665412 is an abundant number, since it is smaller than the sum of its proper divisors (66558440663484).

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

31164540665412 is a wasteful number, since it uses less digits than its factorization.

31164540665412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44607 (or 44598 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 31164540665412 in words is "thirty-one trillion, one hundred sixty-four billion, five hundred forty million, six hundred sixty-five thousand, four hundred twelve".