112280268260160 has 5376 divisors, whose sum is σ = 571162576158720. Its totient is φ = 20231713751040.

The previous prime is 112280268260143. The next prime is 112280268260161. The reversal of 112280268260160 is 61062862082211.

112280268260160 is a `hidden beast` number, since 1 + 1 + 228 + 0 + 2 + 6 + 8 + 260 + 160 = 666.

It is a super-2 number, since 2×112280268260160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112280268260161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 105625839789 + ... + 105625840851.

It is an arithmetic number, because the mean of its divisors is an integer number (106243038720).

Almost surely, 2^{112280268260160} is an apocalyptic number.

112280268260160 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 112280268260160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285581288079360).

112280268260160 is an abundant number, since it is smaller than the sum of its proper divisors (458882307898560).

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

112280268260160 is a wasteful number, since it uses less digits than its factorization.

112280268260160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 112280268260160 in words is "one hundred twelve trillion, two hundred eighty billion, two hundred sixty-eight million, two hundred sixty thousand, one hundred sixty".