1801533052944 has 135 divisors (see below), whose sum is σ = 5183452523613. Its totient is φ = 584087711616.

The previous prime is 1801533052937. The next prime is 1801533053011. The reversal of 1801533052944 is 4492503351081.

The square root of 1801533052944 is 1342212.

It is a perfect power (a square), and thus also a powerful number.

1801533052944 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 53 + 30 + 529 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1612036515600 + 189496537344 = 1269660^2 + 435312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1801533052944.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 595940617 + ... + 595943639.

Almost surely, 2^{1801533052944} is an apocalyptic number.

1801533052944 is the 1342212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1801533052944

1801533052944 is an abundant number, since it is smaller than the sum of its proper divisors (3381919470669).

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

1801533052944 is an frugal number, since it uses more digits than its factorization.

1801533052944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1801533052944 in words is "one trillion, eight hundred one billion, five hundred thirty-three million, fifty-two thousand, nine hundred forty-four".