32087198641 has 27 divisors (see below), whose sum is σ = 35073817027. Its totient is φ = 29348495360.

The previous prime is 32087198629. The next prime is 32087198677. The reversal of 32087198641 is 14689178023.

The square root of 32087198641 is 179129.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4716805041 + 27370393600 = 68679^2 + 165440^2 .

It is not a de Polignac number, because 32087198641 - 2¹¹ = 32087196593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32087198681) 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, 124852785 + ... + 124853041.

Almost surely, 2^32087198641 is an apocalyptic number.

32087198641 is the 179129-th square number.

32087198641 is the 89565-th centered octagonal number.

It is an amenable number.

32087198641 is a deficient number, since it is larger than the sum of its proper divisors (2986618386).

32087198641 is an frugal number, since it uses more digits than its factorization.

32087198641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

Multiplying 32087198641 by its sum of digits (49), we get a square (1572272733409 = 1253903²).

The spelling of 32087198641 in words is "thirty-two billion, eighty-seven million, one hundred ninety-eight thousand, six hundred forty-one".