1105584899328 has 1296 divisors, whose sum is σ = 4301942176896. Its totient is φ = 275725762560.

The previous prime is 1105584899327. The next prime is 1105584899359. The reversal of 1105584899328 is 8239984855011.

1105584899328 is a `hidden beast` number, since 1 + 1 + 0 + 558 + 48 + 9 + 9 + 32 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-4 number, since 4×1105584899328⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105584899327) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2043594738 + ... + 2043595278.

Almost surely, 2^{1105584899328} is an apocalyptic number.

1105584899328 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 1105584899328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150971088448).

1105584899328 is an abundant number, since it is smaller than the sum of its proper divisors (3196357277568).

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

1105584899328 is an equidigital number, since it uses as much as digits as its factorization.

1105584899328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 1105584899328 in words is "one trillion, one hundred five billion, five hundred eighty-four million, eight hundred ninety-nine thousand, three hundred twenty-eight".