188829894088521 has 81 divisors (see below), whose sum is σ = 320446394492679. Its totient is φ = 106838377011072.

The previous prime is 188829894088499. The next prime is 188829894088523. The reversal of 188829894088521 is 125880498928881.

The square root of 188829894088521 is 13741539.

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

188829894088521 is a `hidden beast` number, since 1 + 8 + 8 + 8 + 2 + 9 + 8 + 9 + 4 + 0 + 88 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86708036241225 + 102121857847296 = 9311715^2 + 10105536^2 .

It is not a de Polignac number, because 188829894088521 - 2¹⁹ = 188829893564233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (188829894088523) 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, 29722945681 + ... + 29722952033.

Almost surely, 2^{188829894088521} is an apocalyptic number.

188829894088521 is the 13741539-th square number.

188829894088521 is the 6870770-th centered octagonal number.

It is an amenable number.

188829894088521 is a deficient number, since it is larger than the sum of its proper divisors (131616500404158).

188829894088521 is an frugal number, since it uses more digits than its factorization.

188829894088521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 1698693120, while the sum is 81.

The spelling of 188829894088521 in words is "one hundred eighty-eight trillion, eight hundred twenty-nine billion, eight hundred ninety-four million, eighty-eight thousand, five hundred twenty-one".