14160887664 has 640 divisors, whose sum is σ = 51836682240. Its totient is φ = 3216998400.

The previous prime is 14160887621. The next prime is 14160887669. The reversal of 14160887664 is 46678806141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14160887669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59250457 + ... + 59250695.

It is an arithmetic number, because the mean of its divisors is an integer number (80994816).

Almost surely, 2^14160887664 is an apocalyptic number.

14160887664 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 14160887664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25918341120).

14160887664 is an abundant number, since it is smaller than the sum of its proper divisors (37675794576).

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

14160887664 is a wasteful number, since it uses less digits than its factorization.

14160887664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 14160887664 in words is "fourteen billion, one hundred sixty million, eight hundred eighty-seven thousand, six hundred sixty-four".