13909894516224 has 240 divisors, whose sum is σ = 46285911520992. Its totient is φ = 3939084140544.

The previous prime is 13909894516169. The next prime is 13909894516267. The reversal of 13909894516224 is 42261549890931.

13909894516224 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 9 + 8 + 94 + 516 + 2 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1736812 + ... + 5553044.

Almost surely, 2^{13909894516224} is an apocalyptic number.

13909894516224 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 13909894516224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23142955760496).

13909894516224 is an abundant number, since it is smaller than the sum of its proper divisors (32376017004768).

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

13909894516224 is a wasteful number, since it uses less digits than its factorization.

13909894516224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816377 (or 3816358 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 13909894516224 in words is "thirteen trillion, nine hundred nine billion, eight hundred ninety-four million, five hundred sixteen thousand, two hundred twenty-four".