112494144241440 has 1536 divisors, whose sum is σ = 455855623372800. Its totient is φ = 25677969408000.

The previous prime is 112494144241399. The next prime is 112494144241519. The reversal of 112494144241440 is 44142441494211.

112494144241440 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 94 + 144 + 2 + 414 + 4 + 0 = 666.

It is a super-2 number, since 2×112494144241440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 13733867745 + ... + 13733875935.

It is an arithmetic number, because the mean of its divisors is an integer number (296781004800).

Almost surely, 2^{112494144241440} is an apocalyptic number.

112494144241440 is a gapful number since it is divisible by the number (10) 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 112494144241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227927811686400).

112494144241440 is an abundant number, since it is smaller than the sum of its proper divisors (343361479131360).

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

112494144241440 is a wasteful number, since it uses less digits than its factorization.

112494144241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 112494144241440 in words is "one hundred twelve trillion, four hundred ninety-four billion, one hundred forty-four million, two hundred forty-one thousand, four hundred forty".