109583314344 has 480 divisors, whose sum is σ = 378568460160. Its totient is φ = 28955646720.

The previous prime is 109583314307. The next prime is 109583314403. The reversal of 109583314344 is 443413385901.

109583314344 is a `hidden beast` number, since 1 + 0 + 9 + 583 + 31 + 4 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 109583314344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 100258662 + ... + 100259754.

It is an arithmetic number, because the mean of its divisors is an integer number (788684292).

Almost surely, 2^109583314344 is an apocalyptic number.

109583314344 is a gapful number since it is divisible by the number (14) 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 109583314344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189284230080).

109583314344 is an abundant number, since it is smaller than the sum of its proper divisors (268985145816).

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

109583314344 is a wasteful number, since it uses less digits than its factorization.

109583314344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 109583314344 in words is "one hundred nine billion, five hundred eighty-three million, three hundred fourteen thousand, three hundred forty-four".