112225742613792 has 168 divisors, whose sum is σ = 331274694073680. Its totient is φ = 37407498226560.

The previous prime is 112225742613769. The next prime is 112225742613823. The reversal of 112225742613792 is 297316247522211.

112225742613792 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 5 + 7 + 4 + 261 + 379 + 2 = 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 polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1484999367 + ... + 1485074937.

It is an arithmetic number, because the mean of its divisors is an integer number (1971873179010).

Almost surely, 2^{112225742613792} is an apocalyptic number.

112225742613792 is a gapful number since it is divisible by the number (12) 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 112225742613792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165637347036840).

112225742613792 is an abundant number, since it is smaller than the sum of its proper divisors (219048951459888).

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

112225742613792 is an frugal number, since it uses more digits than its factorization.

112225742613792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139258 (or 139235 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 112225742613792 in words is "one hundred twelve trillion, two hundred twenty-five billion, seven hundred forty-two million, six hundred thirteen thousand, seven hundred ninety-two".