112649745600 has 1260 divisors, whose sum is σ = 490283397384. Its totient is φ = 25395793920.

The previous prime is 112649745587. The next prime is 112649745619. The reversal of 112649745600 is 6547946211.

112649745600 is a `hidden beast` number, since 1 + 12 + 6 + 4 + 9 + 74 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1543147164 + ... + 1543147236.

Almost surely, 2^112649745600 is an apocalyptic number.

112649745600 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 112649745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245141698692).

112649745600 is an abundant number, since it is smaller than the sum of its proper divisors (377633651784).

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

112649745600 is an frugal number, since it uses more digits than its factorization.

112649745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 112649745600 in words is "one hundred twelve billion, six hundred forty-nine million, seven hundred forty-five thousand, six hundred".