12988650216529 has 27 divisors (see below), whose sum is σ = 14844854521179. Its totient is φ = 11357717276880.

The previous prime is 12988650216517. The next prime is 12988650216533. The reversal of 12988650216529 is 92561205688921.

The square root of 12988650216529 is 3603977.

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

12988650216529 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1921397961025 + 11067252255504 = 1386145^2 + 3326748^2 .

It is not a de Polignac number, because 12988650216529 - 2¹¹ = 12988650214481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12988650216559) 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, 890175024 + ... + 890189614.

Almost surely, 2^{12988650216529} is an apocalyptic number.

12988650216529 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

12988650216529 is the 3603977-th square number.

12988650216529 is the 1801989-th centered octagonal number.

It is an amenable number.

12988650216529 is a deficient number, since it is larger than the sum of its proper divisors (1856204304650).

12988650216529 is an frugal number, since it uses more digits than its factorization.

12988650216529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29246 (or 14623 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 64.

Multiplying 12988650216529 by its sum of digits (64), we get a square (831273613857856 = 28831816²).

The spelling of 12988650216529 in words is "twelve trillion, nine hundred eighty-eight billion, six hundred fifty million, two hundred sixteen thousand, five hundred twenty-nine".