112361787014400 has 1728 divisors, whose sum is σ = 543904247900160. Its totient is φ = 21974453452800.

The previous prime is 112361787014369. The next prime is 112361787014401. The reversal of 112361787014400 is 4410787163211.

112361787014400 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 6 + 178 + 70 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (112361787014401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225946827 + ... + 226443573.

It is an arithmetic number, because the mean of its divisors is an integer number (314759402720).

Almost surely, 2^{112361787014400} is an apocalyptic number.

112361787014400 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 112361787014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271952123950080).

112361787014400 is an abundant number, since it is smaller than the sum of its proper divisors (431542460885760).

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

112361787014400 is a wasteful number, since it uses less digits than its factorization.

112361787014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496817 (or 496792 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 112361787014400 in words is "one hundred twelve trillion, three hundred sixty-one billion, seven hundred eighty-seven million, fourteen thousand, four hundred".