112543475625 has 315 divisors, whose sum is σ = 248783655153. Its totient is φ = 50723820000.

The previous prime is 112543475617. The next prime is 112543475647. The reversal of 112543475625 is 526574345211.

The square root of 112543475625 is 335475.

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

112543475625 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 43 + 47 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8823408489 + 103720067136 = 93933^2 + 322056^2 .

It is a tau number, because it is divible by the number of its divisors (315).

It is not a de Polignac number, because 112543475625 - 2³ = 112543475617 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 314 ways as a sum of consecutive naturals, for example, 1585119340 + ... + 1585119410.

Almost surely, 2^112543475625 is an apocalyptic number.

112543475625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112543475625 is the 335475-th square number.

112543475625 is the 167738-th centered octagonal number.

It is an amenable number.

112543475625 is an abundant number, since it is smaller than the sum of its proper divisors (136240179528).

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

112543475625 is an frugal number, since it uses more digits than its factorization.

112543475625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 86 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 112543475625 in words is "one hundred twelve billion, five hundred forty-three million, four hundred seventy-five thousand, six hundred twenty-five".