12990574811536 has 315 divisors, whose sum is σ = 30610194303297. Its totient is φ = 5340624589440.

The previous prime is 12990574811521. The next prime is 12990574811609. The reversal of 12990574811536 is 63511847509921.

The square root of 12990574811536 is 3604244.

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., 11624144736400 + 1366430075136 = 3409420^2 + 1168944^2 .

It is a super-2 number, since 2×12990574811536² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 182965842381 + ... + 182965842451.

It is a 2-persistent number, because it is pandigital, and so is 2⋅12990574811536 = 25981149623072, but 3⋅12990574811536 = 38971724434608 is not.

Almost surely, 2^{12990574811536} is an apocalyptic number.

12990574811536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12990574811536 is the 3604244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12990574811536

12990574811536 is an abundant number, since it is smaller than the sum of its proper divisors (17619619491761).

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

12990574811536 is an frugal number, since it uses more digits than its factorization.

12990574811536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 12990574811536 in words is "twelve trillion, nine hundred ninety billion, five hundred seventy-four million, eight hundred eleven thousand, five hundred thirty-six".