112277004263424 has 2800 divisors, whose sum is σ = 457685889239040. Its totient is φ = 26707596410880.

The previous prime is 112277004263419. The next prime is 112277004263447. The reversal of 112277004263424 is 424362400772211.

112277004263424 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 7 + 7 + 0 + 0 + 4 + 2 + 634 + 2 + 4 = 666.

It is a super-2 number, since 2×112277004263424² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112277004263424.

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 884070899649 + ... + 884070899775.

Almost surely, 2^{112277004263424} is an apocalyptic number.

112277004263424 is a gapful number since it is divisible by the number (14) 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 112277004263424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228842944619520).

112277004263424 is an abundant number, since it is smaller than the sum of its proper divisors (345408884975616).

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

112277004263424 is an frugal number, since it uses more digits than its factorization.

112277004263424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 112277004263424 in words is "one hundred twelve trillion, two hundred seventy-seven billion, four million, two hundred sixty-three thousand, four hundred twenty-four".