112358198007225 has 27 divisors (see below), whose sum is σ = 201246301659949. Its totient is φ = 59924287471200.

The previous prime is 112358198007217. The next prime is 112358198007269. The reversal of 112358198007225 is 522700891853211.

The square root of 112358198007225 is 10599915.

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

112358198007225 is a `hidden beast` number, since 1 + 12 + 358 + 198 + 0 + 0 + 72 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2454677361081 + 109903520646144 = 1566741^2 + 10483488^2 .

It is not a de Polignac number, because 112358198007225 - 2³ = 112358198007217 is a prime.

It is a super-2 number, since 2×112358198007225² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158645395 + ... + 159352055.

Almost surely, 2^{112358198007225} is an apocalyptic number.

112358198007225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112358198007225 is the 10599915-th square number.

112358198007225 is the 5299958-th centered octagonal number.

It is an amenable number.

112358198007225 is a deficient number, since it is larger than the sum of its proper divisors (88888103652724).

112358198007225 is an frugal number, since it uses more digits than its factorization.

112358198007225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413338 (or 706669 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 112358198007225 in words is "one hundred twelve trillion, three hundred fifty-eight billion, one hundred ninety-eight million, seven thousand, two hundred twenty-five".