1112448162672 has 960 divisors, whose sum is σ = 4292789529600. Its totient is φ = 265531392000.

The previous prime is 1112448162667. The next prime is 1112448162703. The reversal of 1112448162672 is 2762618442111.

1112448162672 is a `hidden beast` number, since 1 + 1 + 12 + 4 + 4 + 8 + 1 + 626 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 397159672 + ... + 397162472.

It is an arithmetic number, because the mean of its divisors is an integer number (4471655760).

Almost surely, 2^{1112448162672} is an apocalyptic number.

1112448162672 is a gapful number since it is divisible by the number (12) 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 1112448162672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146394764800).

1112448162672 is an abundant number, since it is smaller than the sum of its proper divisors (3180341366928).

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

1112448162672 is a wasteful number, since it uses less digits than its factorization.

1112448162672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2884 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The spelling of 1112448162672 in words is "one trillion, one hundred twelve billion, four hundred forty-eight million, one hundred sixty-two thousand, six hundred seventy-two".