8564396397001 has 9 divisors (see below), whose sum is σ = 9097871859399. Its totient is φ = 8060561549664.

The previous prime is 8564396396999. The next prime is 8564396397047. The reversal of 8564396397001 is 1007936934658.

The square root of 8564396397001 is 2926499.

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

It can be written as a sum of positive squares in only one way, i.e., 6667782662025 + 1896613734976 = 2582205^2 + 1377176^2 .

It is not a de Polignac number, because 8564396397001 - 2¹ = 8564396396999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8564396397101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49664410 + ... + 49836556.

Almost surely, 2^{8564396397001} is an apocalyptic number.

8564396397001 is the 2926499-th square number.

8564396397001 is the 1463250-th centered octagonal number.

It is an amenable number.

8564396397001 is a deficient number, since it is larger than the sum of its proper divisors (533475462398).

8564396397001 is an frugal number, since it uses more digits than its factorization.

8564396397001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344328 (or 172164 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 61.

The spelling of 8564396397001 in words is "eight trillion, five hundred sixty-four billion, three hundred ninety-six million, three hundred ninety-seven thousand, one".