111945604789225 has 27 divisors (see below), whose sum is σ = 146504311356933. Its totient is φ = 84842222891040.

The previous prime is 111945604789223. The next prime is 111945604789247. The reversal of 111945604789225 is 522987406549111.

It is a happy number.

The square root of 111945604789225 is 10580435.

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 26827562098089 + 85118042691136 = 5179533^2 + 9225944^2 .

It is not a de Polignac number, because 111945604789225 - 2¹ = 111945604789223 is a prime.

It is a super-2 number, since 2×111945604789225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111945604789223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1005085639 + ... + 1005197011.

Almost surely, 2^{111945604789225} is an apocalyptic number.

111945604789225 is the 10580435-th square number.

111945604789225 is the 5290218-th centered octagonal number.

It is an amenable number.

111945604789225 is a deficient number, since it is larger than the sum of its proper divisors (34558706567708).

111945604789225 is an frugal number, since it uses more digits than its factorization.

111945604789225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222794 (or 111397 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 64.

The spelling of 111945604789225 in words is "one hundred eleven trillion, nine hundred forty-five billion, six hundred four million, seven hundred eighty-nine thousand, two hundred twenty-five".