18574988036641 has 9 divisors (see below), whose sum is σ = 19090746922611. Its totient is φ = 18072806177592.

The previous prime is 18574988036603. The next prime is 18574988036653. The reversal of 18574988036641 is 14663088947581.

The square root of 18574988036641 is 4309871.

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., 16621154379025 + 1953833657616 = 4076905^2 + 1397796^2 .

It is not a de Polignac number, because 18574988036641 - 2²⁵ = 18574954482209 is a prime.

It is a super-2 number, since 2×18574988036641² (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 (18574988036441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 159406986 + ... + 159523468.

Almost surely, 2^{18574988036641} is an apocalyptic number.

18574988036641 is the 4309871-st square number.

18574988036641 is the 2154936-th centered octagonal number.

It is an amenable number.

18574988036641 is a deficient number, since it is larger than the sum of its proper divisors (515758885970).

18574988036641 is an frugal number, since it uses more digits than its factorization.

18574988036641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233040 (or 116520 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 70.

The spelling of 18574988036641 in words is "eighteen trillion, five hundred seventy-four billion, nine hundred eighty-eight million, thirty-six thousand, six hundred forty-one".