112414456000 has 448 divisors, whose sum is σ = 355634592768. Its totient is φ = 34176000000.

The previous prime is 112414455973. The next prime is 112414456013. The reversal of 112414456000 is 654414211.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 112414456000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25253775 + ... + 25258225.

It is an arithmetic number, because the mean of its divisors is an integer number (793827216).

Almost surely, 2^112414456000 is an apocalyptic number.

112414456000 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 112414456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177817296384).

112414456000 is an abundant number, since it is smaller than the sum of its proper divisors (243220136768).

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

112414456000 is a wasteful number, since it uses less digits than its factorization.

112414456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4537 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 112414456000 in words is "one hundred twelve billion, four hundred fourteen million, four hundred fifty-six thousand".