14494416215904 has 144 divisors (see below), whose sum is σ = 42129901653840. Its totient is φ = 4725472066560.

The previous prime is 14494416215887. The next prime is 14494416215921. The reversal of 14494416215904 is 40951261449441.

It is a happy number.

14494416215904 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 4 + 4 + 1 + 621 + 5 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14494416215887) and next prime (14494416215921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182414 + ... + 5512434.

It is an arithmetic number, because the mean of its divisors is an integer number (292568761485).

Almost surely, 2^{14494416215904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14494416215904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064950826920).

14494416215904 is an abundant number, since it is smaller than the sum of its proper divisors (27635485437936).

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

14494416215904 is a wasteful number, since it uses less digits than its factorization.

14494416215904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330293 (or 4330282 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 14494416215904 in words is "fourteen trillion, four hundred ninety-four billion, four hundred sixteen million, two hundred fifteen thousand, nine hundred four".