14448623616 has 256 divisors, whose sum is σ = 48946780800. Its totient is φ = 4126408704.

The previous prime is 14448623593. The next prime is 14448623639. The reversal of 14448623616 is 61632684441.

14448623616 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 8 + 6 + 23 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (14448623593) and next prime (14448623639).

It is a tau number, because it is divible by the number of its divisors (256).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 6191986 + ... + 6194318.

Almost surely, 2^14448623616 is an apocalyptic number.

14448623616 is a gapful number since it is divisible by the number (16) 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 14448623616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24473390400).

14448623616 is an abundant number, since it is smaller than the sum of its proper divisors (34498157184).

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

14448623616 is an frugal number, since it uses more digits than its factorization.

14448623616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2345 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 14448623616 in words is "fourteen billion, four hundred forty-eight million, six hundred twenty-three thousand, six hundred sixteen".