14454800064 has 252 divisors, whose sum is σ = 44489272464. Its totient is φ = 4478588928.

The previous prime is 14454800051. The next prime is 14454800077. The reversal of 14454800064 is 46000845441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14454800051) and next prime (14454800077).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18136114 + ... + 18136910.

It is an arithmetic number, because the mean of its divisors is an integer number (176544732).

Almost surely, 2^14454800064 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 14454800064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22244636232).

14454800064 is an abundant number, since it is smaller than the sum of its proper divisors (30034472400).

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

14454800064 is a wasteful number, since it uses less digits than its factorization.

14454800064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 14454800064 in words is "fourteen billion, four hundred fifty-four million, eight hundred thousand, sixty-four".