112517114612640 has 48 divisors (see below), whose sum is σ = 354428911031328. Its totient is φ = 30004563896576.

The previous prime is 112517114612629. The next prime is 112517114612647. The reversal of 112517114612640 is 46216411715211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 112517114612592 and 112517114612601.

It is not an unprimeable number, because it can be changed into a prime (112517114612647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117205327242 + ... + 117205328201.

It is an arithmetic number, because the mean of its divisors is an integer number (7383935646486).

Almost surely, 2^{112517114612640} is an apocalyptic number.

112517114612640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112517114612640 is an abundant number, since it is smaller than the sum of its proper divisors (241911796418688).

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

112517114612640 is a wasteful number, since it uses less digits than its factorization.

112517114612640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234410655461 (or 234410655453 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 112517114612640 in words is "one hundred twelve trillion, five hundred seventeen billion, one hundred fourteen million, six hundred twelve thousand, six hundred forty".