18814955939641 has 27 divisors (see below), whose sum is σ = 19680420853359. Its totient is φ = 17987107958928.

The previous prime is 18814955939617. The next prime is 18814955939657. The reversal of 18814955939641 is 14693955941881.

The square root of 18814955939641 is 4337621.

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., 16835880954025 + 1979074985616 = 4103155^2 + 1406796^2 .

It is not a de Polignac number, because 18814955939641 - 2³⁷ = 18677516986169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18814955939141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9469025650 + ... + 9469027636.

Almost surely, 2^{18814955939641} is an apocalyptic number.

18814955939641 is the 4337621-st square number.

18814955939641 is the 2168811-st centered octagonal number.

It is an amenable number.

18814955939641 is a deficient number, since it is larger than the sum of its proper divisors (865464913718).

18814955939641 is an frugal number, since it uses more digits than its factorization.

18814955939641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 2083 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 73.

The spelling of 18814955939641 in words is "eighteen trillion, eight hundred fourteen billion, nine hundred fifty-five million, nine hundred thirty-nine thousand, six hundred forty-one".