23552084596401 has 27 divisors (see below), whose sum is σ = 34457440319211. Its totient is φ = 15501880886544.

The previous prime is 23552084596367. The next prime is 23552084596487. The reversal of 23552084596401 is 10469548025532.

The square root of 23552084596401 is 4853049.

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

23552084596401 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 2 + 0 + 8 + 4 + 596 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18533929061025 + 5018155535376 = 4305105^2 + 2240124^2 .

It is not a de Polignac number, because 23552084596401 - 2¹³ = 23552084588209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23552084595401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1150162375 + ... + 1150182851.

Almost surely, 2^{23552084596401} is an apocalyptic number.

23552084596401 is the 4853049-th square number.

23552084596401 is the 2426525-th centered octagonal number.

It is an amenable number.

23552084596401 is a deficient number, since it is larger than the sum of its proper divisors (10905355722810).

23552084596401 is an frugal number, since it uses more digits than its factorization.

23552084596401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41118 (or 20559 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 23552084596401 in words is "twenty-three trillion, five hundred fifty-two billion, eighty-four million, five hundred ninety-six thousand, four hundred one".