112428979423488 has 1728 divisors, whose sum is σ = 426181888204800. Its totient is φ = 28773300142080.

The previous prime is 112428979423459. The next prime is 112428979423513. The reversal of 112428979423488 is 884324979824211.

112428979423488 is a `hidden beast` number, since 1 + 1 + 2 + 42 + 89 + 7 + 9 + 4 + 23 + 488 = 666.

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

It is a super-2 number, since 2×112428979423488² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26385583278 + ... + 26385587538.

Almost surely, 2^{112428979423488} is an apocalyptic number.

112428979423488 is a gapful number since it is divisible by the number (18) 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 112428979423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213090944102400).

112428979423488 is an abundant number, since it is smaller than the sum of its proper divisors (313752908781312).

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

112428979423488 is an equidigital number, since it uses as much as digits as its factorization.

112428979423488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450 (or 4424 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 72.

The spelling of 112428979423488 in words is "one hundred twelve trillion, four hundred twenty-eight billion, nine hundred seventy-nine million, four hundred twenty-three thousand, four hundred eighty-eight".