112225188993624 has 192 divisors, whose sum is σ = 348128362483200. Its totient is φ = 31993830655488.

The previous prime is 112225188993601. The next prime is 112225188993763. The reversal of 112225188993624 is 426399881522211.

112225188993624 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 5 + 188 + 99 + 362 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422540292 + ... + 422805804.

It is an arithmetic number, because the mean of its divisors is an integer number (1813168554600).

Almost surely, 2^{112225188993624} is an apocalyptic number.

112225188993624 is a gapful number since it is divisible by the number (14) 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 112225188993624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174064181241600).

112225188993624 is an abundant number, since it is smaller than the sum of its proper divisors (235903173489576).

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

112225188993624 is a wasteful number, since it uses less digits than its factorization.

112225188993624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267374 (or 267367 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 112225188993624 in words is "one hundred twelve trillion, two hundred twenty-five billion, one hundred eighty-eight million, nine hundred ninety-three thousand, six hundred twenty-four".