13704093319644 has 576 divisors, whose sum is σ = 43553217576960. Its totient is φ = 3537420802560.

The previous prime is 13704093319571. The next prime is 13704093319723. The reversal of 13704093319644 is 44691339040731.

13704093319644 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 409 + 3 + 3 + 196 + 44 = 666.

It is a super-2 number, since 2×13704093319644² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19059934717 + ... + 19059935435.

It is an arithmetic number, because the mean of its divisors is an integer number (75613224960).

Almost surely, 2^{13704093319644} is an apocalyptic number.

13704093319644 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 13704093319644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21776608788480).

13704093319644 is an abundant number, since it is smaller than the sum of its proper divisors (29849124257316).

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

13704093319644 is a wasteful number, since it uses less digits than its factorization.

13704093319644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 13704093319644 in words is "thirteen trillion, seven hundred four billion, ninety-three million, three hundred nineteen thousand, six hundred forty-four".