12137869584 has 45 divisors (see below), whose sum is σ = 33972877029. Its totient is φ = 4045515840.

The previous prime is 12137869543. The next prime is 12137869621. The reversal of 12137869584 is 48596873121.

The square root of 12137869584 is 110172.

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

12137869584 is a `hidden beast` number, since 1 + 21 + 37 + 8 + 6 + 9 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7844999184 + 4292870400 = 88572^2 + 65520^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12137869584.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1317474 + ... + 1326654.

Almost surely, 2^12137869584 is an apocalyptic number.

12137869584 is the 110172-nd square number.

It is an amenable number.

12137869584 is an abundant number, since it is smaller than the sum of its proper divisors (21835007445).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12137869584 is an frugal number, since it uses more digits than its factorization.

12137869584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18376 (or 9186 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

It can be divided in two parts, 12137 and 869584, that added together give a square (881721 = 939²).

The spelling of 12137869584 in words is "twelve billion, one hundred thirty-seven million, eight hundred sixty-nine thousand, five hundred eighty-four".