190816080625 has 45 divisors (see below), whose sum is σ = 242228094229. Its totient is φ = 150267800000.

The previous prime is 190816080607. The next prime is 190816080629. The reversal of 190816080625 is 526080618091.

The square root of 190816080625 is 436825.

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

190816080625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 95986573489 + 94829507136 = 309817^2 + 307944^2 .

It is not a de Polignac number, because 190816080625 - 2¹⁵ = 190816047857 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (190816080629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1102983039 + ... + 1102983211.

Almost surely, 2^190816080625 is an apocalyptic number.

190816080625 is the 436825-th square number.

190816080625 is the 218413-rd centered octagonal number.

It is an amenable number.

190816080625 is a deficient number, since it is larger than the sum of its proper divisors (51412013604).

190816080625 is an frugal number, since it uses more digits than its factorization.

190816080625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 190816080625 in words is "one hundred ninety billion, eight hundred sixteen million, eighty thousand, six hundred twenty-five".