18751194225 has 135 divisors (see below), whose sum is σ = 37104318097. Its totient is φ = 9359781120.

The previous prime is 18751194211. The next prime is 18751194227. The reversal of 18751194225 is 52249115781.

The square root of 18751194225 is 136935.

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

It can be written as a sum of positive squares in 4 ways, for example, as 438609249 + 18312584976 = 20943^2 + 135324^2 .

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

It is not a de Polignac number, because 18751194225 - 2⁵ = 18751194193 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18751194227) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 104755186 + ... + 104755364.

Almost surely, 2^18751194225 is an apocalyptic number.

18751194225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18751194225 is the 136935-th square number.

18751194225 is the 68468-th centered octagonal number.

It is an amenable number.

18751194225 is a deficient number, since it is larger than the sum of its proper divisors (18353123872).

18751194225 is an equidigital number, since it uses as much as digits as its factorization.

18751194225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 204 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 18751194225 in words is "eighteen billion, seven hundred fifty-one million, one hundred ninety-four thousand, two hundred twenty-five".