112736600064 has 352 divisors, whose sum is σ = 366414310080. Its totient is φ = 33973862400.

The previous prime is 112736600047. The next prime is 112736600083. The reversal of 112736600064 is 460006637211.

It is a happy number.

112736600064 is a `hidden beast` number, since 1 + 12 + 7 + 36 + 600 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622854054 + ... + 622854234.

Almost surely, 2^112736600064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112736600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183207155040).

112736600064 is an abundant number, since it is smaller than the sum of its proper divisors (253677710016).

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

112736600064 is an frugal number, since it uses more digits than its factorization.

112736600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 112736600064 in words is "one hundred twelve billion, seven hundred thirty-six million, six hundred thousand, sixty-four".