112461580224 has 672 divisors, whose sum is σ = 409627791360. Its totient is φ = 29622288384.

The previous prime is 112461580219. The next prime is 112461580331. The reversal of 112461580224 is 422085164211.

112461580224 is a `hidden beast` number, since 1 + 12 + 4 + 61 + 580 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 185274129 + ... + 185274735.

Almost surely, 2^112461580224 is an apocalyptic number.

112461580224 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 112461580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204813895680).

112461580224 is an abundant number, since it is smaller than the sum of its proper divisors (297166211136).

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

112461580224 is a wasteful number, since it uses less digits than its factorization.

112461580224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 112461580224 in words is "one hundred twelve billion, four hundred sixty-one million, five hundred eighty thousand, two hundred twenty-four".