112913721888 has 192 divisors, whose sum is σ = 337910372352. Its totient is φ = 32679342080.

The previous prime is 112913721859. The next prime is 112913721913. The reversal of 112913721888 is 888127319211.

It is a super-2 number, since 2×112913721888² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112913721888.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18042856 + ... + 18049112.

It is an arithmetic number, because the mean of its divisors is an integer number (1759949856).

Almost surely, 2^112913721888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112913721888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168955186176).

112913721888 is an abundant number, since it is smaller than the sum of its proper divisors (224996650464).

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

112913721888 is a wasteful number, since it uses less digits than its factorization.

112913721888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7039 counting only the distinct ones).

The product of its digits is 387072, while the sum is 51.

The spelling of 112913721888 in words is "one hundred twelve billion, nine hundred thirteen million, seven hundred twenty-one thousand, eight hundred eighty-eight".