17800945344 has 448 divisors, whose sum is σ = 68206924800. Its totient is φ = 4417929216.

The previous prime is 17800945313. The next prime is 17800945363. The reversal of 17800945344 is 44354900871.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 17800945344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2669887 + ... + 2676545.

It is an arithmetic number, because the mean of its divisors is an integer number (152247600).

Almost surely, 2^17800945344 is an apocalyptic number.

17800945344 is a gapful number since it is divisible by the number (14) 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 17800945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34103462400).

17800945344 is an abundant number, since it is smaller than the sum of its proper divisors (50405979456).

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

17800945344 is a wasteful number, since it uses less digits than its factorization.

17800945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 17800945344 in words is "seventeen billion, eight hundred million, nine hundred forty-five thousand, three hundred forty-four".