189629837478225 has 27 divisors (see below), whose sum is σ = 339648478876369. Its totient is φ = 101135803156800.

The previous prime is 189629837478217. The next prime is 189629837478271. The reversal of 189629837478225 is 522874738926981.

The square root of 189629837478225 is 13770615.

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

189629837478225 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 2 + 98 + 37 + 478 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5417949867201 + 184211887611024 = 2327649^2 + 13572468^2 .

It is not a de Polignac number, because 189629837478225 - 2³ = 189629837478217 is a prime.

It is a super-4 number, since 4×189629837478225⁴ (a number of 58 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 206100205 + ... + 207018245.

Almost surely, 2^{189629837478225} is an apocalyptic number.

189629837478225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

189629837478225 is the 13770615-th square number.

189629837478225 is the 6885308-th centered octagonal number.

It is an amenable number.

189629837478225 is a deficient number, since it is larger than the sum of its proper divisors (150018641398144).

189629837478225 is an frugal number, since it uses more digits than its factorization.

189629837478225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836098 (or 918049 counting only the distinct ones).

The product of its digits is 5852528640, while the sum is 81.

The spelling of 189629837478225 in words is "one hundred eighty-nine trillion, six hundred twenty-nine billion, eight hundred thirty-seven million, four hundred seventy-eight thousand, two hundred twenty-five".