112633416000 has 1568 divisors, whose sum is σ = 498920048640. Its totient is φ = 24634368000.

The previous prime is 112633415963. The next prime is 112633416041. The reversal of 112633416000 is 614336211.

112633416000 is a `hidden beast` number, since 1 + 1 + 26 + 3 + 34 + 1 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1265543956 + ... + 1265544044.

Almost surely, 2^112633416000 is an apocalyptic number.

112633416000 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 112633416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249460024320).

112633416000 is an abundant number, since it is smaller than the sum of its proper divisors (386286632640).

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

112633416000 is an frugal number, since it uses more digits than its factorization.

112633416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 112633416000 in words is "one hundred twelve billion, six hundred thirty-three million, four hundred sixteen thousand".