112842246400 has 729 divisors, whose sum is σ = 339075987201. Its totient is φ = 37150064640.

The previous prime is 112842246397. The next prime is 112842246443. The reversal of 112842246400 is 4642248211.

The square root of 112842246400 is 335920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 82180835584 + 30661410816 = 286672^2 + 175104^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 5939065591 + ... + 5939065609.

Almost surely, 2^112842246400 is an apocalyptic number.

112842246400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112842246400 is the 335920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112842246400

112842246400 is an abundant number, since it is smaller than the sum of its proper divisors (226233740801).

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

112842246400 is a wasteful number, since it uses less digits than its factorization.

112842246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 112842246400 in words is "one hundred twelve billion, eight hundred forty-two million, two hundred forty-six thousand, four hundred".