112849306569216 has 640 divisors, whose sum is σ = 383311323648000. Its totient is φ = 32112072179712.

The previous prime is 112849306569151. The next prime is 112849306569217. The reversal of 112849306569216 is 612965603948211.

112849306569216 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 49 + 3 + 0 + 6 + 569 + 21 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112849306569217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 32530787130 + ... + 32530790598.

It is an arithmetic number, because the mean of its divisors is an integer number (598923943200).

Almost surely, 2^{112849306569216} is an apocalyptic number.

112849306569216 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 112849306569216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191655661824000).

112849306569216 is an abundant number, since it is smaller than the sum of its proper divisors (270462017078784).

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

112849306569216 is an equidigital number, since it uses as much as digits as its factorization.

112849306569216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4747 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 112849306569216 in words is "one hundred twelve trillion, eight hundred forty-nine billion, three hundred six million, five hundred sixty-nine thousand, two hundred sixteen".