111885304432225 has 243 divisors, whose sum is σ = 157926301544403. Its totient is φ = 78613965650880.

The previous prime is 111885304432219. The next prime is 111885304432243. The reversal of 111885304432225 is 522234403588111.

The square root of 111885304432225 is 10577585.

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

It can be written as a sum of positive squares in only one way, i.e., 40278709595601 + 71606594836624 = 6346551^2 + 8462068^2 .

It is not a de Polignac number, because 111885304432225 - 2⁹ = 111885304431713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1086265091524 + ... + 1086265091626.

Almost surely, 2^{111885304432225} is an apocalyptic number.

111885304432225 is the 10577585-th square number.

111885304432225 is the 5288793-rd centered octagonal number.

It is an amenable number.

111885304432225 is a deficient number, since it is larger than the sum of its proper divisors (46040997112178).

111885304432225 is an equidigital number, since it uses as much as digits as its factorization.

111885304432225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

The spelling of 111885304432225 in words is "one hundred eleven trillion, eight hundred eighty-five billion, three hundred four million, four hundred thirty-two thousand, two hundred twenty-five".