112052112691248 has 640 divisors, whose sum is σ = 357851236055040. Its totient is φ = 33389750845440.

The previous prime is 112052112691121. The next prime is 112052112691301. The reversal of 112052112691248 is 842196211250211.

112052112691248 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 521 + 12 + 6 + 91 + 24 + 8 = 666.

It is a super-2 number, since 2×112052112691248² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24061005336 + ... + 24061009992.

It is an arithmetic number, because the mean of its divisors is an integer number (559142556336).

Almost surely, 2^{112052112691248} is an apocalyptic number.

112052112691248 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 112052112691248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178925618027520).

112052112691248 is an abundant number, since it is smaller than the sum of its proper divisors (245799123363792).

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

112052112691248 is a wasteful number, since it uses less digits than its factorization.

112052112691248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 112052112691248 in words is "one hundred twelve trillion, fifty-two billion, one hundred twelve million, six hundred ninety-one thousand, two hundred forty-eight".