13995853309584 has 200 divisors, whose sum is σ = 41596621595232. Its totient is φ = 4540682603520.

The previous prime is 13995853309439. The next prime is 13995853309597. The reversal of 13995853309584 is 48590335859931.

It is a happy number.

13995853309584 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 5 + 8 + 5 + 3 + 30 + 9 + 584 = 666.

It is a super-2 number, since 2×13995853309584² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15327304 + ... + 16214744.

Almost surely, 2^{13995853309584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13995853309584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20798310797616).

13995853309584 is an abundant number, since it is smaller than the sum of its proper divisors (27600768285648).

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

13995853309584 is a wasteful number, since it uses less digits than its factorization.

13995853309584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887787 (or 887772 counting only the distinct ones).

The product of its (nonzero) digits is 629856000, while the sum is 72.

The spelling of 13995853309584 in words is "thirteen trillion, nine hundred ninety-five billion, eight hundred fifty-three million, three hundred nine thousand, five hundred eighty-four".