13499843975904 has 384 divisors, whose sum is σ = 42079376102400. Its totient is φ = 3735712235520.

The previous prime is 13499843975899. The next prime is 13499843975911. The reversal of 13499843975904 is 40957934899431.

13499843975904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1568103952 + ... + 1568112560.

It is an arithmetic number, because the mean of its divisors is an integer number (109581708600).

Almost surely, 2^{13499843975904} 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 13499843975904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21039688051200).

13499843975904 is an abundant number, since it is smaller than the sum of its proper divisors (28579532126496).

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

13499843975904 is a wasteful number, since it uses less digits than its factorization.

13499843975904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9858 (or 9850 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 75.

The spelling of 13499843975904 in words is "thirteen trillion, four hundred ninety-nine billion, eight hundred forty-three million, nine hundred seventy-five thousand, nine hundred four".