149353647587089 has 27 divisors (see below), whose sum is σ = 164502430578171. Its totient is φ = 135498014760240.

The previous prime is 149353647587069. The next prime is 149353647587119. The reversal of 149353647587089 is 980785746353941.

The square root of 149353647587089 is 12221033.

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

149353647587089 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., 19930715570689 + 129422932016400 = 4464383^2 + 11376420^2 .

It is not a de Polignac number, because 149353647587089 - 2¹⁷ = 149353647456017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149353647587029) 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, 95311835584 + ... + 95311837150.

Almost surely, 2^{149353647587089} is an apocalyptic number.

149353647587089 is the 12221033-rd square number.

149353647587089 is the 6110517-th centered octagonal number.

It is an amenable number.

149353647587089 is a deficient number, since it is larger than the sum of its proper divisors (15148782991082).

149353647587089 is an frugal number, since it uses more digits than its factorization.

149353647587089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4574 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 79.

The spelling of 149353647587089 in words is "one hundred forty-nine trillion, three hundred fifty-three billion, six hundred forty-seven million, five hundred eighty-seven thousand, eighty-nine".