14664106080 has 384 divisors, whose sum is σ = 57062154240. Its totient is φ = 3492771840.

The previous prime is 14664106073. The next prime is 14664106129. The reversal of 14664106080 is 8060146641.

14664106080 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 41 + 0 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1736749 + ... + 1745171.

It is an arithmetic number, because the mean of its divisors is an integer number (148599360).

Almost surely, 2^14664106080 is an apocalyptic number.

14664106080 is a gapful number since it is divisible by the number (10) 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 14664106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28531077120).

14664106080 is an abundant number, since it is smaller than the sum of its proper divisors (42398048160).

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

14664106080 is a wasteful number, since it uses less digits than its factorization.

14664106080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8491 (or 8477 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14664106080 in words is "fourteen billion, six hundred sixty-four million, one hundred six thousand, eighty".