112736552000 has 112 divisors (see below), whose sum is σ = 286002465840. Its totient is φ = 43994624000.

The previous prime is 112736551981. The next prime is 112736552023. The reversal of 112736552000 is 255637211.

It can be written as a sum of positive squares in 8 ways, for example, as 63459655744 + 49276896256 = 251912^2 + 221984^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156146 + ... + 499854.

It is an arithmetic number, because the mean of its divisors is an integer number (2553593445).

Almost surely, 2^112736552000 is an apocalyptic number.

112736552000 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 112736552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143001232920).

112736552000 is an abundant number, since it is smaller than the sum of its proper divisors (173265913840).

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

112736552000 is an equidigital number, since it uses as much as digits as its factorization.

112736552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343777 (or 343757 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The spelling of 112736552000 in words is "one hundred twelve billion, seven hundred thirty-six million, five hundred fifty-two thousand".