14466320064 has 560 divisors, whose sum is σ = 51235790848. Its totient is φ = 3950456832.

The previous prime is 14466320053. The next prime is 14466320093. The reversal of 14466320064 is 46002366441.

14466320064 is a `hidden beast` number, since 1 + 446 + 6 + 3 + 200 + 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 79 ways as a sum of consecutive naturals, for example, 113907969 + ... + 113908095.

Almost surely, 2^14466320064 is an apocalyptic number.

14466320064 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 14466320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25617895424).

14466320064 is an abundant number, since it is smaller than the sum of its proper divisors (36769470784).

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

14466320064 is a wasteful number, since it uses less digits than its factorization.

14466320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 14466320064 in words is "fourteen billion, four hundred sixty-six million, three hundred twenty thousand, sixty-four".