14036664960 has 320 divisors, whose sum is σ = 52769455200. Its totient is φ = 3545856000.

The previous prime is 14036664959. The next prime is 14036664977. The reversal of 14036664960 is 6946663041.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 977835 + ... + 992085.

Almost surely, 2^14036664960 is an apocalyptic number.

14036664960 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 14036664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26384727600).

14036664960 is an abundant number, since it is smaller than the sum of its proper divisors (38732790240).

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

14036664960 is a wasteful number, since it uses less digits than its factorization.

14036664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301 (or 14280 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 14036664960 in words is "fourteen billion, thirty-six million, six hundred sixty-four thousand, nine hundred sixty".