112516615351140 has 1152 divisors, whose sum is σ = 451538971656192. Its totient is φ = 20258152611840.

The previous prime is 112516615351121. The next prime is 112516615351141. The reversal of 112516615351140 is 41153516615211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 112516615351092 and 112516615351101.

It is not an unprimeable number, because it can be changed into a prime (112516615351141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5083647514 + ... + 5083669646.

It is an arithmetic number, because the mean of its divisors is an integer number (391960912896).

Almost surely, 2^{112516615351140} is an apocalyptic number.

112516615351140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112516615351140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225769485828096).

112516615351140 is an abundant number, since it is smaller than the sum of its proper divisors (339022356305052).

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

112516615351140 is a wasteful number, since it uses less digits than its factorization.

112516615351140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22589 (or 22574 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 42.

The spelling of 112516615351140 in words is "one hundred twelve trillion, five hundred sixteen billion, six hundred fifteen million, three hundred fifty-one thousand, one hundred forty".