18405459090816 has 128 divisors (see below), whose sum is σ = 55882687449600. Its totient is φ = 5257858142208.

The previous prime is 18405459090787. The next prime is 18405459090833. The reversal of 18405459090816 is 61809095450481.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×18405459090816³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18405459090816.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 16288300 + ... + 17381588.

It is an arithmetic number, because the mean of its divisors is an integer number (436583495700).

Almost surely, 2^{18405459090816} is an apocalyptic number.

18405459090816 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 18405459090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941343724800).

18405459090816 is an abundant number, since it is smaller than the sum of its proper divisors (37477228358784).

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

18405459090816 is a wasteful number, since it uses less digits than its factorization.

18405459090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099576 (or 1099564 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 60.

The spelling of 18405459090816 in words is "eighteen trillion, four hundred five billion, four hundred fifty-nine million, ninety thousand, eight hundred sixteen".