112899782016 has 384 divisors, whose sum is σ = 410424213600. Its totient is φ = 30358831104.

The previous prime is 112899781963. The next prime is 112899782069. The reversal of 112899782016 is 610287998211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112899781963) and next prime (112899782069).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2859240 + ... + 2898456.

Almost surely, 2^112899782016 is an apocalyptic number.

112899782016 is a gapful number since it is divisible by the number (16) 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 112899782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205212106800).

112899782016 is an abundant number, since it is smaller than the sum of its proper divisors (297524431584).

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

112899782016 is a wasteful number, since it uses less digits than its factorization.

112899782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39271 (or 39246 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 112899782016 in words is "one hundred twelve billion, eight hundred ninety-nine million, seven hundred eighty-two thousand, sixteen".