112405878144 has 256 divisors, whose sum is σ = 388397721600. Its totient is φ = 31332372480.

The previous prime is 112405878083. The next prime is 112405878149. The reversal of 112405878144 is 441878504211.

112405878144 is a `hidden beast` number, since 1 + 1 + 24 + 0 + 587 + 8 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112405878144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112405878149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935209 + ... + 1048535.

It is an arithmetic number, because the mean of its divisors is an integer number (1517178600).

Almost surely, 2^112405878144 is an apocalyptic number.

112405878144 is a gapful number since it is divisible by the number (14) 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 112405878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194198860800).

112405878144 is an abundant number, since it is smaller than the sum of its proper divisors (275991843456).

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

112405878144 is a wasteful number, since it uses less digits than its factorization.

112405878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113398 (or 113380 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 112405878144 in words is "one hundred twelve billion, four hundred five million, eight hundred seventy-eight thousand, one hundred forty-four".