186870321225 has 243 divisors, whose sum is σ = 409302170823. Its totient is φ = 81255746880.

The previous prime is 186870321193. The next prime is 186870321269. The reversal of 186870321225 is 522123078681.

The square root of 186870321225 is 432285.

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., 67273315641 + 119597005584 = 259371^2 + 345828^2 .

It is not a de Polignac number, because 186870321225 - 2⁵ = 186870321193 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 242 ways as a sum of consecutive naturals, for example, 1043968186 + ... + 1043968364.

Almost surely, 2^186870321225 is an apocalyptic number.

186870321225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

186870321225 is the 432285-th square number.

186870321225 is the 216143-rd centered octagonal number.

It is an amenable number.

186870321225 is an abundant number, since it is smaller than the sum of its proper divisors (222431849598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

186870321225 is a wasteful number, since it uses less digits than its factorization.

186870321225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 186870321225 in words is "one hundred eighty-six billion, eight hundred seventy million, three hundred twenty-one thousand, two hundred twenty-five".