112269938971680 has 1728 divisors, whose sum is σ = 484866040538880. Its totient is φ = 24426991411200.

The previous prime is 112269938971667. The next prime is 112269938971759. The reversal of 112269938971680 is 86179839962211.

112269938971680 is a `hidden beast` number, since 1 + 1 + 22 + 69 + 9 + 389 + 7 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 112269938971599 and 112269938971608.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3922627770 + ... + 3922656390.

It is an arithmetic number, because the mean of its divisors is an integer number (280593773460).

Almost surely, 2^{112269938971680} is an apocalyptic number.

112269938971680 is a gapful number since it is divisible by the number (10) 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 112269938971680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242433020269440).

112269938971680 is an abundant number, since it is smaller than the sum of its proper divisors (372596101567200).

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

112269938971680 is a wasteful number, since it uses less digits than its factorization.

112269938971680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28765 (or 28738 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 112269938971680 in words is "one hundred twelve trillion, two hundred sixty-nine billion, nine hundred thirty-eight million, nine hundred seventy-one thousand, six hundred eighty".