109721308201344 has 1152 divisors, whose sum is σ = 387451955404800. Its totient is φ = 29658859388928.

The previous prime is 109721308201283. The next prime is 109721308201357. The reversal of 109721308201344 is 443102803127901.

109721308201344 is a `hidden beast` number, since 1 + 0 + 9 + 72 + 1 + 30 + 8 + 201 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 109721308201344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67437803859 + ... + 67437805485.

It is an arithmetic number, because the mean of its divisors is an integer number (336329822400).

Almost surely, 2^{109721308201344} is an apocalyptic number.

109721308201344 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 109721308201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193725977702400).

109721308201344 is an abundant number, since it is smaller than the sum of its proper divisors (277730647203456).

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

109721308201344 is a wasteful number, since it uses less digits than its factorization.

109721308201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 109721308201344 in words is "one hundred nine trillion, seven hundred twenty-one billion, three hundred eight million, two hundred one thousand, three hundred forty-four".