1805943972864 has 176 divisors, whose sum is σ = 5032071779328. Its totient is φ = 574743257088.

The previous prime is 1805943972863. The next prime is 1805943972869. The reversal of 1805943972864 is 4682793495081.

It is a happy number.

It is a super-2 number, since 2×1805943972864² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1805943972795 and 1805943972804.

It is not an unprimeable number, because it can be changed into a prime (1805943972863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38625469 + ... + 38672195.

It is an arithmetic number, because the mean of its divisors is an integer number (28591316928).

It is a 1-persistent number, because it is pandigital, but 2⋅1805943972864 = 3611887945728 is not.

Almost surely, 2^{1805943972864} 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 1805943972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516035889664).

1805943972864 is an abundant number, since it is smaller than the sum of its proper divisors (3226127806464).

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

1805943972864 is a wasteful number, since it uses less digits than its factorization.

1805943972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47320 (or 47302 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 1805943972864 in words is "one trillion, eight hundred five billion, nine hundred forty-three million, nine hundred seventy-two thousand, eight hundred sixty-four".