14686894404 has 240 divisors, whose sum is σ = 48535458048. Its totient is φ = 3768498432.

The previous prime is 14686894373. The next prime is 14686894423. The reversal of 14686894404 is 40449868641.

14686894404 is a `hidden beast` number, since 1 + 46 + 86 + 89 + 440 + 4 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1084177 + ... + 1097639.

Almost surely, 2^14686894404 is an apocalyptic number.

14686894404 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 14686894404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24267729024).

14686894404 is an abundant number, since it is smaller than the sum of its proper divisors (33848563644).

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

14686894404 is a wasteful number, since it uses less digits than its factorization.

14686894404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13536 (or 13525 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 14686894404 in words is "fourteen billion, six hundred eighty-six million, eight hundred ninety-four thousand, four hundred four".