14421248064 has 168 divisors, whose sum is σ = 45012864000. Its totient is φ = 4396944384.

The previous prime is 14421248059. The next prime is 14421248069. The reversal of 14421248064 is 46084212441.

It is an interprime number because it is at equal distance from previous prime (14421248059) and next prime (14421248069).

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

It is not an unprimeable number, because it can be changed into a prime (14421248069) 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, 294657 + ... + 340095.

Almost surely, 2^14421248064 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 14421248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22506432000).

14421248064 is an abundant number, since it is smaller than the sum of its proper divisors (30591615936).

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

14421248064 is a wasteful number, since it uses less digits than its factorization.

14421248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45505 (or 45492 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 14421248064 in words is "fourteen billion, four hundred twenty-one million, two hundred forty-eight thousand, sixty-four".