112821796444896 has 288 divisors, whose sum is σ = 401060001888000. Its totient is φ = 29227040317440.

The previous prime is 112821796444807. The next prime is 112821796444901. The reversal of 112821796444896 is 698444697128211.

112821796444896 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 2 + 1 + 7 + 96 + 4 + 448 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1692880 + ... + 15116528.

It is an arithmetic number, because the mean of its divisors is an integer number (1392569451000).

Almost surely, 2^{112821796444896} is an apocalyptic number.

112821796444896 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 112821796444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200530000944000).

112821796444896 is an abundant number, since it is smaller than the sum of its proper divisors (288238205443104).

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

112821796444896 is a wasteful number, since it uses less digits than its factorization.

112821796444896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13424062 (or 13424051 counting only the distinct ones).

The product of its digits is 334430208, while the sum is 72.

The spelling of 112821796444896 in words is "one hundred twelve trillion, eight hundred twenty-one billion, seven hundred ninety-six million, four hundred forty-four thousand, eight hundred ninety-six".