1810459985664 has 144 divisors (see below), whose sum is σ = 5257554430464. Its totient is φ = 548514816000.

The previous prime is 1810459985639. The next prime is 1810459985683. The reversal of 1810459985664 is 4665899540181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1810459985595 and 1810459985604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48988377 + ... + 49025319.

It is an arithmetic number, because the mean of its divisors is an integer number (36510794656).

Almost surely, 2^{1810459985664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1810459985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628777215232).

1810459985664 is an abundant number, since it is smaller than the sum of its proper divisors (3447094444800).

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

1810459985664 is a wasteful number, since it uses less digits than its factorization.

1810459985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42774 (or 42760 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 66.

The spelling of 1810459985664 in words is "one trillion, eight hundred ten billion, four hundred fifty-nine million, nine hundred eighty-five thousand, six hundred sixty-four".