1109648704500 has 576 divisors, whose sum is σ = 4179767574528. Its totient is φ = 242477280000.

The previous prime is 1109648704487. The next prime is 1109648704603. The reversal of 1109648704500 is 54078469011.

1109648704500 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 64 + 87 + 0 + 4 + 500 = 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 191 ways as a sum of consecutive naturals, for example, 81042655 + ... + 81056345.

It is an arithmetic number, because the mean of its divisors is an integer number (7256540928).

Almost surely, 2^{1109648704500} is an apocalyptic number.

1109648704500 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 1109648704500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089883787264).

1109648704500 is an abundant number, since it is smaller than the sum of its proper divisors (3070118870028).

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

1109648704500 is a wasteful number, since it uses less digits than its factorization.

1109648704500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13837 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1109648704500 in words is "one trillion, one hundred nine billion, six hundred forty-eight million, seven hundred four thousand, five hundred".