18579125743201 has 3 divisors (see below), whose sum is σ = 18579130053553. Its totient is φ = 18579121432850.

The previous prime is 18579125743177. The next prime is 18579125743273. The reversal of 18579125743201 is 10234752197581.

It is a happy number.

The square root of 18579125743201 is 4310351.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 18579125743201 - 2³³ = 18570535808609 is a prime.

It is a super-2 number, since 2×18579125743201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18579125243201) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2155176 + ... + 6465526.

Almost surely, 2^{18579125743201} is an apocalyptic number.

18579125743201 is the 4310351-st square number.

18579125743201 is the 2155176-th centered octagonal number.

It is an amenable number.

18579125743201 is a deficient number, since it is larger than the sum of its proper divisors (4310352).

18579125743201 is an frugal number, since it uses more digits than its factorization.

18579125743201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8620702 (or 4310351 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 18579125743201 in words is "eighteen trillion, five hundred seventy-nine billion, one hundred twenty-five million, seven hundred forty-three thousand, two hundred one".