14808661026816 has 192 divisors, whose sum is σ = 39636941198400. Its totient is φ = 4916650180608.

The previous prime is 14808661026811. The next prime is 14808661026829. The reversal of 14808661026816 is 61862016680841.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (14808661026811) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1880938656 + ... + 1880946528.

It is an arithmetic number, because the mean of its divisors is an integer number (206442402075).

Almost surely, 2^{14808661026816} is an apocalyptic number.

14808661026816 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 14808661026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19818470599200).

14808661026816 is an abundant number, since it is smaller than the sum of its proper divisors (24828280171584).

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

14808661026816 is an equidigital number, since it uses as much as digits as its factorization.

14808661026816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 9054 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 14808661026816 in words is "fourteen trillion, eight hundred eight billion, six hundred sixty-one million, twenty-six thousand, eight hundred sixteen".