188221484025 has 135 divisors (see below), whose sum is σ = 361422987519. Its totient is φ = 96834204000.

The previous prime is 188221483973. The next prime is 188221484041. The reversal of 188221484025 is 520484122881.

It is a happy number.

The square root of 188221484025 is 433845.

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

188221484025 is a `hidden beast` number, since 1 + 88 + 22 + 148 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67759734249 + 120461749776 = 260307^2 + 347076^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 188221484025 - 2⁷ = 188221483897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 605213620 + ... + 605213930.

Almost surely, 2^188221484025 is an apocalyptic number.

188221484025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

188221484025 is the 433845-th square number.

188221484025 is the 216923-rd centered octagonal number.

It is an amenable number.

188221484025 is a deficient number, since it is larger than the sum of its proper divisors (173201503494).

188221484025 is an frugal number, since it uses more digits than its factorization.

188221484025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 188221484025 in words is "one hundred eighty-eight billion, two hundred twenty-one million, four hundred eighty-four thousand, twenty-five".