111238925625 has 45 divisors (see below), whose sum is σ = 200828949321. Its totient is φ = 59314086000.

The previous prime is 111238925591. The next prime is 111238925639. The reversal of 111238925625 is 526529832111.

The square root of 111238925625 is 333525.

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

111238925625 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 3 + 89 + 2 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8721131769 + 102517793856 = 93387^2 + 320184^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 111238925625 - 2¹⁵ = 111238892857 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 44 ways as a sum of consecutive naturals, for example, 25012152 + ... + 25016598.

Almost surely, 2^111238925625 is an apocalyptic number.

111238925625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

111238925625 is the 333525-th square number.

111238925625 is the 166763-rd centered octagonal number.

It is an amenable number.

111238925625 is a deficient number, since it is larger than the sum of its proper divisors (89590023696).

111238925625 is an frugal number, since it uses more digits than its factorization.

111238925625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920 (or 4455 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 111238925625 in words is "one hundred eleven billion, two hundred thirty-eight million, nine hundred twenty-five thousand, six hundred twenty-five".