31946300364912 has 320 divisors, whose sum is σ = 86506982246400. Its totient is φ = 10149359616000.

The previous prime is 31946300364911. The next prime is 31946300364919. The reversal of 31946300364912 is 21946300364913.

It is a super-2 number, since 2×31946300364912² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31946300364911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26599749912 + ... + 26599751112.

It is an arithmetic number, because the mean of its divisors is an integer number (270334319520).

Almost surely, 2^{31946300364912} 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 31946300364912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43253491123200).

31946300364912 is an abundant number, since it is smaller than the sum of its proper divisors (54560681881488).

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

31946300364912 is a wasteful number, since it uses less digits than its factorization.

31946300364912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

Subtracting from 31946300364912 its reverse (21946300364913), we obtain a palindrome (9999999999999).

The spelling of 31946300364912 in words is "thirty-one trillion, nine hundred forty-six billion, three hundred million, three hundred sixty-four thousand, nine hundred twelve".