14453233931808 has 720 divisors, whose sum is σ = 50640928228800. Its totient is φ = 3902005933056.

The previous prime is 14453233931783. The next prime is 14453233931839. The reversal of 14453233931808 is 80813933235441.

14453233931808 is a `hidden beast` number, since 1 + 4 + 4 + 53 + 23 + 393 + 180 + 8 = 666.

It is a super-2 number, since 2×14453233931808² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1320045118 + ... + 1320056066.

It is an arithmetic number, because the mean of its divisors is an integer number (70334622540).

Almost surely, 2^{14453233931808} is an apocalyptic number.

14453233931808 is a gapful number since it is divisible by the number (18) 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 14453233931808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25320464114400).

14453233931808 is an abundant number, since it is smaller than the sum of its proper divisors (36187694296992).

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

14453233931808 is a wasteful number, since it uses less digits than its factorization.

14453233931808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11099 (or 11067 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 14453233931808 in words is "fourteen trillion, four hundred fifty-three billion, two hundred thirty-three million, nine hundred thirty-one thousand, eight hundred eight".