112890405888 has 352 divisors, whose sum is σ = 361365916800. Its totient is φ = 34608218112.

The previous prime is 112890405829. The next prime is 112890405913. The reversal of 112890405888 is 888504098211.

112890405888 is a `hidden beast` number, since 1 + 12 + 8 + 9 + 0 + 40 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159224478 + ... + 159225186.

Almost surely, 2^112890405888 is an apocalyptic number.

112890405888 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 112890405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180682958400).

112890405888 is an abundant number, since it is smaller than the sum of its proper divisors (248475510912).

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

112890405888 is a wasteful number, since it uses less digits than its factorization.

112890405888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 112890405888 in words is "one hundred twelve billion, eight hundred ninety million, four hundred five thousand, eight hundred eighty-eight".