112078709503488 has 3360 divisors, whose sum is σ = 457951545891840. Its totient is φ = 27100133867520.

The previous prime is 112078709503421. The next prime is 112078709503549. The reversal of 112078709503488 is 884305907870211.

112078709503488 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 7 + 87 + 0 + 9 + 503 + 48 + 8 = 666.

It is a super-2 number, since 2×112078709503488² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3615442242033 + ... + 3615442242063.

It is an arithmetic number, because the mean of its divisors is an integer number (136295102944).

Almost surely, 2^{112078709503488} is an apocalyptic number.

112078709503488 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 112078709503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228975772945920).

112078709503488 is an abundant number, since it is smaller than the sum of its proper divisors (345872836388352).

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

112078709503488 is an frugal number, since it uses more digits than its factorization.

112078709503488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 112078709503488 in words is "one hundred twelve trillion, seventy-eight billion, seven hundred nine million, five hundred three thousand, four hundred eighty-eight".