14406181884864 has 420 divisors, whose sum is σ = 54192653052120. Its totient is φ = 3741864698880.

The previous prime is 14406181884833. The next prime is 14406181884869. The reversal of 14406181884864 is 46848818160441.

14406181884864 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 618 + 1 + 8 + 8 + 4 + 8 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14406181884869) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 216282 + ... + 5372070.

Almost surely, 2^{14406181884864} is an apocalyptic number.

14406181884864 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 14406181884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27096326526060).

14406181884864 is an abundant number, since it is smaller than the sum of its proper divisors (39786471167256).

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

14406181884864 is a wasteful number, since it uses less digits than its factorization.

14406181884864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155838 (or 5155812 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 63.

The spelling of 14406181884864 in words is "fourteen trillion, four hundred six billion, one hundred eighty-one million, eight hundred eighty-four thousand, eight hundred sixty-four".