112009267776 has 448 divisors, whose sum is σ = 360493056000. Its totient is φ = 30643587072.

The previous prime is 112009267717. The next prime is 112009267793. The reversal of 112009267776 is 677762900211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425890621 + ... + 425890883.

It is an arithmetic number, because the mean of its divisors is an integer number (804672000).

Almost surely, 2^112009267776 is an apocalyptic number.

112009267776 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 112009267776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180246528000).

112009267776 is an abundant number, since it is smaller than the sum of its proper divisors (248483788224).

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

112009267776 is a wasteful number, since it uses less digits than its factorization.

112009267776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 48.

The spelling of 112009267776 in words is "one hundred twelve billion, nine million, two hundred sixty-seven thousand, seven hundred seventy-six".