10864532307321 has 243 divisors, whose sum is σ = 21205737017829. Its totient is φ = 5339745180000.

The previous prime is 10864532307313. The next prime is 10864532307323. The reversal of 10864532307321 is 12370323546801.

The square root of 10864532307321 is 3296139.

It is a perfect power (a square), and thus also a powerful number.

10864532307321 is a `hidden beast` number, since 1 + 0 + 8 + 64 + 532 + 30 + 7 + 3 + 21 = 666.

It is not a de Polignac number, because 10864532307321 - 2³ = 10864532307313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10864532307323) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 14466753696 + ... + 14466754446.

Almost surely, 2^{10864532307321} is an apocalyptic number.

10864532307321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10864532307321 is the 3296139-th square number.

10864532307321 is the 1648070-th centered octagonal number.

It is an amenable number.

10864532307321 is a deficient number, since it is larger than the sum of its proper divisors (10341204710508).

10864532307321 is an equidigital number, since it uses as much as digits as its factorization.

10864532307321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10864532307321 in words is "ten trillion, eight hundred sixty-four billion, five hundred thirty-two million, three hundred seven thousand, three hundred twenty-one".