13109622349824 has 3584 divisors, whose sum is σ = 57199433195520. Its totient is φ = 2889476997120.

The previous prime is 13109622349799. The next prime is 13109622349883. The reversal of 13109622349824 is 42894322690131.

It is a happy number.

13109622349824 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 9 + 622 + 3 + 4 + 9 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 304874938347 + ... + 304874938389.

It is an arithmetic number, because the mean of its divisors is an integer number (15959663280).

Almost surely, 2^{13109622349824} is an apocalyptic number.

13109622349824 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 13109622349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28599716597760).

13109622349824 is an abundant number, since it is smaller than the sum of its proper divisors (44089810845696).

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

13109622349824 is an equidigital number, since it uses as much as digits as its factorization.

13109622349824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 13109622349824 in words is "thirteen trillion, one hundred nine billion, six hundred twenty-two million, three hundred forty-nine thousand, eight hundred twenty-four".