116875407457449 has 27 divisors (see below), whose sum is σ = 172490622017623. Its totient is φ = 76258136504832.

The previous prime is 116875407457429. The next prime is 116875407457453. The reversal of 116875407457449 is 944754704578611.

The square root of 116875407457449 is 10810893.

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

116875407457449 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 7 + 5 + 4 + 0 + 7 + 4 + 574 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6092035922025 + 110783371535424 = 2468205^2 + 10525368^2 .

It is not a de Polignac number, because 116875407457449 - 2²⁵ = 116875373903017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116875407457429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1524297577 + ... + 1524374249.

Almost surely, 2^{116875407457449} is an apocalyptic number.

116875407457449 is the 10810893-rd square number.

116875407457449 is the 5405447-th centered octagonal number.

It is an amenable number.

116875407457449 is a deficient number, since it is larger than the sum of its proper divisors (55615214560174).

116875407457449 is an frugal number, since it uses more digits than its factorization.

116875407457449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153446 (or 76723 counting only the distinct ones).

The product of its (nonzero) digits is 948326400, while the sum is 72.

The spelling of 116875407457449 in words is "one hundred sixteen trillion, eight hundred seventy-five billion, four hundred seven million, four hundred fifty-seven thousand, four hundred forty-nine".