111225917952 has 210 divisors, whose sum is σ = 341068374933. Its totient is φ = 34894405632.

The previous prime is 111225917951. The next prime is 111225918019. The reversal of 111225917952 is 259719522111.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

111225917952 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 2 + 591 + 7 + 9 + 52 = 666.

111225917952 is digitally balanced in base 3, 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 4 ways, for example, as 66762291456 + 44463626496 = 258384^2 + 210864^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=235824.

Its product of digits (113400) is a multiple of the sum of its prime factors (126).

It is a junction number, because it is equal to n+sod(n) for n = 111225917898 and 111225917907.

It is not an unprimeable number, because it can be changed into a prime (111225917951) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6542701048 + ... + 6542701064.

Almost surely, 2^111225917952 is an apocalyptic number.

111225917952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111225917952

111225917952 is an abundant number, since it is smaller than the sum of its proper divisors (229842456981).

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

111225917952 is an frugal number, since it uses more digits than its factorization.

111225917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 22 counting only the distinct ones).

The product of its digits is 113400, while the sum is 45.

The spelling of 111225917952 in words is "one hundred eleven billion, two hundred twenty-five million, nine hundred seventeen thousand, nine hundred fifty-two".