112116167766 has 128 divisors (see below), whose sum is σ = 259136962560. Its totient is φ = 35908564896.

The previous prime is 112116167759. The next prime is 112116167797. The reversal of 112116167766 is 667761611211.

112116167766 is a `hidden beast` number, since 1 + 1 + 21 + 1 + 616 + 7 + 7 + 6 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35177625 + ... + 35180811.

It is an arithmetic number, because the mean of its divisors is an integer number (2024507520).

Almost surely, 2^112116167766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112116167766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129568481280).

112116167766 is an abundant number, since it is smaller than the sum of its proper divisors (147020794794).

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

112116167766 is a wasteful number, since it uses less digits than its factorization.

112116167766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3489 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

Adding to 112116167766 its reverse (667761611211), we get a palindrome (779877778977).

The spelling of 112116167766 in words is "one hundred twelve billion, one hundred sixteen million, one hundred sixty-seven thousand, seven hundred sixty-six".