168456889225 has 81 divisors (see below), whose sum is σ = 226285697127. Its totient is φ = 124391356320.

The previous prime is 168456889213. The next prime is 168456889283. The reversal of 168456889225 is 522988654861.

The square root of 168456889225 is 410435.

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., 60644480121 + 107812409104 = 246261^2 + 328348^2 .

It is not a de Polignac number, because 168456889225 - 2⁹ = 168456888713 is a prime.

It is a super-2 number, since 2×168456889225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2029601034 + ... + 2029601116.

Almost surely, 2^168456889225 is an apocalyptic number.

168456889225 is the 410435-th square number.

168456889225 is the 205218-th centered octagonal number.

It is an amenable number.

168456889225 is a deficient number, since it is larger than the sum of its proper divisors (57828807902).

168456889225 is an frugal number, since it uses more digits than its factorization.

168456889225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 64.

Multiplying 168456889225 by its sum of digits (64), we get a square (10781240910400 = 3283480²).

The spelling of 168456889225 in words is "one hundred sixty-eight billion, four hundred fifty-six million, eight hundred eighty-nine thousand, two hundred twenty-five".