1109864448 has 624 divisors, whose sum is σ = 4416062976. Its totient is φ = 259522560.

The previous prime is 1109864429. The next prime is 1109864453. The reversal of 1109864448 is 8444689011.

1109864448 is a `hidden beast` number, since 110 + 98 + 6 + 4 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48254965 + ... + 48254987.

It is an arithmetic number, because the mean of its divisors is an integer number (7077024).

Almost surely, 2^1109864448 is an apocalyptic number.

1109864448 is a gapful number since it is divisible by the number (18) 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 1109864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208031488).

1109864448 is an abundant number, since it is smaller than the sum of its proper divisors (3306198528).

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

1109864448 is a wasteful number, since it uses less digits than its factorization.

1109864448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1109864448 is about 33314.6281384019. The cubic root of 1109864448 is about 1035.3566564717.

The spelling of 1109864448 in words is "one billion, one hundred nine million, eight hundred sixty-four thousand, four hundred forty-eight".