112556076480 has 336 divisors, whose sum is σ = 395628839424. Its totient is φ = 29363558400.

The previous prime is 112556076469. The next prime is 112556076527. The reversal of 112556076480 is 84670655211.

112556076480 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 560 + 7 + 6 + 4 + 80 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 29135029 + ... + 29138891.

It is an arithmetic number, because the mean of its divisors is an integer number (1177466784).

Almost surely, 2^112556076480 is an apocalyptic number.

112556076480 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 112556076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197814419712).

112556076480 is an abundant number, since it is smaller than the sum of its proper divisors (283072762944).

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

112556076480 is a wasteful number, since it uses less digits than its factorization.

112556076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 112556076480 in words is "one hundred twelve billion, five hundred fifty-six million, seventy-six thousand, four hundred eighty".