10312310243664 has 400 divisors, whose sum is σ = 35258635636224. Its totient is φ = 2868616166400.

The previous prime is 10312310243659. The next prime is 10312310243671. The reversal of 10312310243664 is 46634201321301.

10312310243664 is a `hidden beast` number, since 1 + 0 + 312 + 310 + 24 + 3 + 6 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33390657 + ... + 33698079.

Almost surely, 2^{10312310243664} 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 10312310243664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17629317818112).

10312310243664 is an abundant number, since it is smaller than the sum of its proper divisors (24946325392560).

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

10312310243664 is a wasteful number, since it uses less digits than its factorization.

10312310243664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307648 (or 307633 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 10312310243664 its reverse (46634201321301), we get a palindrome (56946511564965).

The spelling of 10312310243664 in words is "ten trillion, three hundred twelve billion, three hundred ten million, two hundred forty-three thousand, six hundred sixty-four".