23270483954601 has 81 divisors (see below), whose sum is σ = 37418917856229. Its totient is φ = 13929094850112.

The previous prime is 23270483954567. The next prime is 23270483954623. The reversal of 23270483954601 is 10645938407232.

The square root of 23270483954601 is 4823949.

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

23270483954601 is a `hidden beast` number, since 2 + 3 + 2 + 70 + 483 + 95 + 4 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96658188201 + 23173825766400 = 310899^2 + 4813920^2 .

It is not a de Polignac number, because 23270483954601 - 2⁹ = 23270483954089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23270483954101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6960956736 + ... + 6960960078.

It is a 1-persistent number, because it is pandigital, but 2⋅23270483954601 = 46540967909202 is not.

Almost surely, 2^{23270483954601} is an apocalyptic number.

23270483954601 is the 4823949-th square number.

23270483954601 is the 2411975-th centered octagonal number.

It is an amenable number.

23270483954601 is a deficient number, since it is larger than the sum of its proper divisors (14148433901628).

23270483954601 is an frugal number, since it uses more digits than its factorization.

23270483954601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 23270483954601 in words is "twenty-three trillion, two hundred seventy billion, four hundred eighty-three million, nine hundred fifty-four thousand, six hundred one".