13949639990784 has 240 divisors, whose sum is σ = 42373872148608. Its totient is φ = 4580476065792.

The previous prime is 13949639990773. The next prime is 13949639990863. The reversal of 13949639990784 is 48709993694931.

13949639990784 is a `hidden beast` number, since 1 + 3 + 9 + 496 + 39 + 9 + 90 + 7 + 8 + 4 = 666.

13949639990784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7499149 + ... + 9172595.

Almost surely, 2^{13949639990784} 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 13949639990784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21186936074304).

13949639990784 is an abundant number, since it is smaller than the sum of its proper divisors (28424232157824).

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

13949639990784 is an frugal number, since it uses more digits than its factorization.

13949639990784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673547 (or 1673519 counting only the distinct ones).

The product of its (nonzero) digits is 2857026816, while the sum is 81.

The spelling of 13949639990784 in words is "thirteen trillion, nine hundred forty-nine billion, six hundred thirty-nine million, nine hundred ninety thousand, seven hundred eighty-four".