112561974000 has 1120 divisors, whose sum is σ = 479523058560. Its totient is φ = 25007616000.

The previous prime is 112561973957. The next prime is 112561974059. The reversal of 112561974000 is 479165211.

112561974000 is a `hidden beast` number, since 1 + 1 + 2 + 561 + 97 + 4 + 0 + 0 + 0 = 666.

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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 418445866 + ... + 418446134.

It is an arithmetic number, because the mean of its divisors is an integer number (428145588).

Almost surely, 2^112561974000 is an apocalyptic number.

112561974000 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 112561974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239761529280).

112561974000 is an abundant number, since it is smaller than the sum of its proper divisors (366961084560).

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

112561974000 is an equidigital number, since it uses as much as digits as its factorization.

112561974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 112561974000 in words is "one hundred twelve billion, five hundred sixty-one million, nine hundred seventy-four thousand".