112145919157089 has 12 divisors (see below), whose sum is σ = 165044937628116. Its totient is φ = 73353305611872.

The previous prime is 112145919157067. The next prime is 112145919157127. The reversal of 112145919157089 is 980751919541211.

112145919157089 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 59 + 1 + 9 + 1 + 570 + 8 + 9 = 666.

112145919157089 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30716645907600 + 81429273249489 = 5542260^2 + 9023817^2 .

It is not a de Polignac number, because 112145919157089 - 2⁷ = 112145919156961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112145919157049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117553373902 + ... + 117553374855.

It is an arithmetic number, because the mean of its divisors is an integer number (13753744802343).

Almost surely, 2^{112145919157089} is an apocalyptic number.

It is an amenable number.

112145919157089 is a deficient number, since it is larger than the sum of its proper divisors (52899018471027).

112145919157089 is a wasteful number, since it uses less digits than its factorization.

112145919157089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235106748816 (or 235106748813 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 63.

The spelling of 112145919157089 in words is "one hundred twelve trillion, one hundred forty-five billion, nine hundred nineteen million, one hundred fifty-seven thousand, eighty-nine".