112626280480 has 576 divisors, whose sum is σ = 330615613440. Its totient is φ = 36109172736.

The previous prime is 112626280477. The next prime is 112626280517. The reversal of 112626280480 is 84082626211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 95 ways as a sum of consecutive naturals, for example, 1425649081 + ... + 1425649159.

It is an arithmetic number, because the mean of its divisors is an integer number (573985440).

Almost surely, 2^112626280480 is an apocalyptic number.

112626280480 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 112626280480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165307806720).

112626280480 is an abundant number, since it is smaller than the sum of its proper divisors (217989332960).

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

112626280480 is a wasteful number, since it uses less digits than its factorization.

112626280480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 112626280480 in words is "one hundred twelve billion, six hundred twenty-six million, two hundred eighty thousand, four hundred eighty".