112063743627264 has 2184 divisors, whose sum is σ = 417179274587712. Its totient is φ = 29655837573120.

The previous prime is 112063743627239. The next prime is 112063743627323. The reversal of 112063743627264 is 462726347360211.

112063743627264 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 6 + 3 + 7 + 4 + 3 + 627 + 2 + 6 + 4 = 666.

It is a super-3 number, since 3×112063743627264³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 112063743627264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 154145451669 + ... + 154145452395.

It is an arithmetic number, because the mean of its divisors is an integer number (191016151368).

Almost surely, 2^{112063743627264} 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 112063743627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208589637293856).

112063743627264 is an abundant number, since it is smaller than the sum of its proper divisors (305115530960448).

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

112063743627264 is an equidigital number, since it uses as much as digits as its factorization.

112063743627264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 112063743627264 in words is "one hundred twelve trillion, sixty-three billion, seven hundred forty-three million, six hundred twenty-seven thousand, two hundred sixty-four".