112968345600 has 2304 divisors, whose sum is σ = 526466304000. Its totient is φ = 23357030400.

The previous prime is 112968345599. The next prime is 112968345601. The reversal of 112968345600 is 6543869211.

112968345600 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 6 + 8 + 34 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (112968345599) and next prime (112968345601).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112968345601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4911667189 + ... + 4911667211.

It is an arithmetic number, because the mean of its divisors is an integer number (228501000).

Almost surely, 2^112968345600 is an apocalyptic number.

112968345600 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 112968345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152000).

112968345600 is an abundant number, since it is smaller than the sum of its proper divisors (413497958400).

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

112968345600 is a wasteful number, since it uses less digits than its factorization.

112968345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 112968345600 in words is "one hundred twelve billion, nine hundred sixty-eight million, three hundred forty-five thousand, six hundred".