112829673600 has 1152 divisors, whose sum is σ = 497445840000. Its totient is φ = 24873246720.

The previous prime is 112829673599. The next prime is 112829673611. The reversal of 112829673600 is 6376928211.

112829673600 is a `hidden beast` number, since 1 + 1 + 282 + 9 + 6 + 7 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122773941 + ... + 122774859.

It is an arithmetic number, because the mean of its divisors is an integer number (431810625).

Almost surely, 2^112829673600 is an apocalyptic number.

112829673600 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 112829673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248722920000).

112829673600 is an abundant number, since it is smaller than the sum of its proper divisors (384616166400).

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

112829673600 is a wasteful number, since it uses less digits than its factorization.

112829673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 112829673600 in words is "one hundred twelve billion, eight hundred twenty-nine million, six hundred seventy-three thousand, six hundred".