11855943225 has 243 divisors, whose sum is σ = 26678082951. Its totient is φ = 5017420800.

The previous prime is 11855943097. The next prime is 11855943251. The reversal of 11855943225 is 52234955811.

The square root of 11855943225 is 108885.

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

11855943225 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 594 + 32 + 25 = 666.

11855943225 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 13 ways, for example, as 10575448569 + 1280494656 = 102837^2 + 35784^2 .

It is not a de Polignac number, because 11855943225 - 2⁷ = 11855943097 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 194359695 + ... + 194359755.

Almost surely, 2^11855943225 is an apocalyptic number.

11855943225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11855943225 is the 108885-th square number.

11855943225 is the 54443-rd centered octagonal number.

It is an amenable number.

11855943225 is an abundant number, since it is smaller than the sum of its proper divisors (14822139726).

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

11855943225 is a wasteful number, since it uses less digits than its factorization.

11855943225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 93 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 11855943225 in words is "eleven billion, eight hundred fifty-five million, nine hundred forty-three thousand, two hundred twenty-five".