14468016640 has 320 divisors, whose sum is σ = 45537085440. Its totient is φ = 4271063040.

The previous prime is 14468016637. The next prime is 14468016653. The reversal of 14468016640 is 4661086441.

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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 14468016593 and 14468016602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3743349 + ... + 3747211.

It is an arithmetic number, because the mean of its divisors is an integer number (142303392).

Almost surely, 2^14468016640 is an apocalyptic number.

14468016640 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 14468016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22768542720).

14468016640 is an abundant number, since it is smaller than the sum of its proper divisors (31069068800).

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

14468016640 is a wasteful number, since it uses less digits than its factorization.

14468016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 14468016640 in words is "fourteen billion, four hundred sixty-eight million, sixteen thousand, six hundred forty".