14417225064 has 192 divisors, whose sum is σ = 43100778240. Its totient is φ = 4317511680.

The previous prime is 14417225041. The next prime is 14417225093. The reversal of 14417225064 is 46052271441.

14417225064 is a `hidden beast` number, since 14 + 417 + 225 + 0 + 6 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 39283809 + ... + 39284175.

It is an arithmetic number, because the mean of its divisors is an integer number (224483220).

Almost surely, 2^14417225064 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 14417225064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21550389120).

14417225064 is an abundant number, since it is smaller than the sum of its proper divisors (28683553176).

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

14417225064 is a wasteful number, since it uses less digits than its factorization.

14417225064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14417225064 in words is "fourteen billion, four hundred seventeen million, two hundred twenty-five thousand, sixty-four".