128177604361 has 9 divisors (see below), whose sum is σ = 132457214343. Its totient is φ = 124032102360.

The previous prime is 128177604323. The next prime is 128177604407. The reversal of 128177604361 is 163406771821.

The square root of 128177604361 is 358019.

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., 123776608761 + 4400995600 = 351819^2 + 66340^2 .

It is not a de Polignac number, because 128177604361 - 2¹⁵ = 128177571593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128177604311) 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, 11092815 + ... + 11104363.

Almost surely, 2^128177604361 is an apocalyptic number.

128177604361 is the 358019-th square number.

128177604361 is the 179010-th centered octagonal number.

It is an amenable number.

128177604361 is a deficient number, since it is larger than the sum of its proper divisors (4279609982).

128177604361 is an frugal number, since it uses more digits than its factorization.

128177604361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23160 (or 11580 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 128177604361 in words is "one hundred twenty-eight billion, one hundred seventy-seven million, six hundred four thousand, three hundred sixty-one".