112781675160 has 1728 divisors, whose sum is σ = 516575404800. Its totient is φ = 21986173440.

The previous prime is 112781675159. The next prime is 112781675221. The reversal of 112781675160 is 61576187211.

112781675160 is a `hidden beast` number, since 1 + 1 + 2 + 78 + 1 + 67 + 516 + 0 = 666.

It is a super-2 number, since 2×112781675160² (a number of 23 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 an unprimeable number.

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 431 ways as a sum of consecutive naturals, for example, 1094967669 + ... + 1094967771.

It is an arithmetic number, because the mean of its divisors is an integer number (298944100).

Almost surely, 2^112781675160 is an apocalyptic number.

112781675160 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 112781675160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258287702400).

112781675160 is an abundant number, since it is smaller than the sum of its proper divisors (403793729640).

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

112781675160 is a wasteful number, since it uses less digits than its factorization.

112781675160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 112781675160 in words is "one hundred twelve billion, seven hundred eighty-one million, six hundred seventy-five thousand, one hundred sixty".