4472112744 has 192 divisors, whose sum is σ = 13713598080. Its totient is φ = 1304640000.

The previous prime is 4472112719. The next prime is 4472112767.

4472112744 is a `hidden beast` number, since 4 + 472 + 112 + 74 + 4 = 666.

4472112744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4472112699 and 4472112708.

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 47 ways as a sum of consecutive naturals, for example, 2958949 + ... + 2960459.

It is an arithmetic number, because the mean of its divisors is an integer number (71424990).

Almost surely, 2^4472112744 is an apocalyptic number.

4472112744 is a gapful number since it is divisible by the number (44) 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 4472112744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856799040).

4472112744 is an abundant number, since it is smaller than the sum of its proper divisors (9241485336).

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

4472112744 is a wasteful number, since it uses less digits than its factorization.

4472112744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1665 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4472112744 is about 66873.8569547174. The cubic root of 4472112744 is about 1647.5461221020.

The spelling of 4472112744 in words is "four billion, four hundred seventy-two million, one hundred twelve thousand, seven hundred forty-four".