112966819776 has 196 divisors, whose sum is σ = 340364572000. Its totient is φ = 37177740288.

The previous prime is 112966819769. The next prime is 112966819787. The reversal of 112966819776 is 677918669211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3670500 + ... + 3701148.

Almost surely, 2^112966819776 is an apocalyptic number.

112966819776 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 112966819776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170182286000).

112966819776 is an abundant number, since it is smaller than the sum of its proper divisors (227397752224).

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

112966819776 is an frugal number, since it uses more digits than its factorization.

112966819776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30758 (or 30733 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 112966819776 in words is "one hundred twelve billion, nine hundred sixty-six million, eight hundred nineteen thousand, seven hundred seventy-six".