14455332864 has 336 divisors, whose sum is σ = 49077176928. Its totient is φ = 4013162496.

The previous prime is 14455332847. The next prime is 14455332869. The reversal of 14455332864 is 46823355441.

14455332864 is a `hidden beast` number, since 1 + 4 + 4 + 553 + 32 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14455332869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19095174 + ... + 19095930.

Almost surely, 2^14455332864 is an apocalyptic number.

14455332864 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 14455332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24538588464).

14455332864 is an abundant number, since it is smaller than the sum of its proper divisors (34621844064).

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

14455332864 is an equidigital number, since it uses as much as digits as its factorization.

14455332864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 806 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 14455332864 in words is "fourteen billion, four hundred fifty-five million, three hundred thirty-two thousand, eight hundred sixty-four".