109368810144000 has 1296 divisors, whose sum is σ = 448594685710080. Its totient is φ = 26513422848000.

The previous prime is 109368810143951. The next prime is 109368810144007. The reversal of 109368810144000 is 441018863901.

109368810144000 is a `hidden beast` number, since 10 + 93 + 6 + 8 + 8 + 101 + 440 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (109368810144007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 940837881 + ... + 940954119.

Almost surely, 2^{109368810144000} is an apocalyptic number.

109368810144000 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 109368810144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224297342855040).

109368810144000 is an abundant number, since it is smaller than the sum of its proper divisors (339225875566080).

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

109368810144000 is an equidigital number, since it uses as much as digits as its factorization.

109368810144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116307 (or 116260 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 109368810144000 in words is "one hundred nine trillion, three hundred sixty-eight billion, eight hundred ten million, one hundred forty-four thousand".