8358164320401 has 135 divisors (see below), whose sum is σ = 14337137770683. Its totient is φ = 4691825601120.

The previous prime is 8358164320379. The next prime is 8358164320421. The reversal of 8358164320401 is 1040234618538.

The square root of 8358164320401 is 2891049.

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

8358164320401 is a `hidden beast` number, since 8 + 3 + 58 + 164 + 32 + 0 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1440612065025 + 6917552255376 = 1200255^2 + 2630124^2 .

It is not a de Polignac number, because 8358164320401 - 2⁷ = 8358164320273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8358164320421) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 30173878275 + ... + 30173878551.

Almost surely, 2^{8358164320401} is an apocalyptic number.

8358164320401 is the 2891049-th square number.

8358164320401 is the 1445525-th centered octagonal number.

It is an amenable number.

8358164320401 is a deficient number, since it is larger than the sum of its proper divisors (5978973450282).

8358164320401 is an frugal number, since it uses more digits than its factorization.

8358164320401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 8358164320401 its reverse (1040234618538), we get a palindrome (9398398938939).

The spelling of 8358164320401 in words is "eight trillion, three hundred fifty-eight billion, one hundred sixty-four million, three hundred twenty thousand, four hundred one".