13494384864 has 384 divisors, whose sum is σ = 42278544000. Its totient is φ = 4232632320.

The previous prime is 13494384863. The next prime is 13494384887. The reversal of 13494384864 is 46848349431.

13494384864 is a `hidden beast` number, since 13 + 494 + 3 + 84 + 8 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13494384864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13494384863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123801642 + ... + 123801750.

It is an arithmetic number, because the mean of its divisors is an integer number (110100375).

Almost surely, 2^13494384864 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 13494384864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139272000).

13494384864 is an abundant number, since it is smaller than the sum of its proper divisors (28784159136).

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

13494384864 is an equidigital number, since it uses as much as digits as its factorization.

13494384864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 13494384864 in words is "thirteen billion, four hundred ninety-four million, three hundred eighty-four thousand, eight hundred sixty-four".