10382303652864 has 352 divisors, whose sum is σ = 32555506341120. Its totient is φ = 2900120371200.

The previous prime is 10382303652857. The next prime is 10382303652911. The reversal of 10382303652864 is 46825630328301.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324623754 + ... + 324655734.

Almost surely, 2^{10382303652864} 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 10382303652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16277753170560).

10382303652864 is an abundant number, since it is smaller than the sum of its proper divisors (22173202688256).

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

10382303652864 is a wasteful number, since it uses less digits than its factorization.

10382303652864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32767 (or 32749 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 10382303652864 in words is "ten trillion, three hundred eighty-two billion, three hundred three million, six hundred fifty-two thousand, eight hundred sixty-four".