16890513577249 has 9 divisors (see below), whose sum is σ = 18289785573363. Its totient is φ = 15591193984392.

The previous prime is 16890513577177. The next prime is 16890513577277. The reversal of 16890513577249 is 94277531509861.

The square root of 16890513577249 is 4109807.

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

16890513577249 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., 2498596683025 + 14391916894224 = 1580695^2 + 3793668^2 .

It is not a de Polignac number, because 16890513577249 - 2²⁷ = 16890379359521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16890513577279) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53269422 + ... + 53585560.

It is a 1-persistent number, because it is pandigital, but 2⋅16890513577249 = 33781027154498 is not.

Almost surely, 2^{16890513577249} is an apocalyptic number.

16890513577249 is the 4109807-th square number.

16890513577249 is the 2054904-th centered octagonal number.

It is an amenable number.

16890513577249 is a deficient number, since it is larger than the sum of its proper divisors (1399271996114).

16890513577249 is an frugal number, since it uses more digits than its factorization.

16890513577249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632304 (or 316152 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 67.

The spelling of 16890513577249 in words is "sixteen trillion, eight hundred ninety billion, five hundred thirteen million, five hundred seventy-seven thousand, two hundred forty-nine".