112552167168 has 720 divisors, whose sum is σ = 415029457920. Its totient is φ = 29614989312.

The previous prime is 112552167107. The next prime is 112552167239. The reversal of 112552167168 is 861761255211.

112552167168 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 521 + 67 + 1 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102041305 + ... + 102042407.

Almost surely, 2^112552167168 is an apocalyptic number.

112552167168 is a gapful number since it is divisible by the number (18) 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 112552167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207514728960).

112552167168 is an abundant number, since it is smaller than the sum of its proper divisors (302477290752).

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

112552167168 is a wasteful number, since it uses less digits than its factorization.

112552167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1171 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 112552167168 in words is "one hundred twelve billion, five hundred fifty-two million, one hundred sixty-seven thousand, one hundred sixty-eight".