45581823001 has 27 divisors (see below), whose sum is σ = 54289186077. Its totient is φ = 38224860960.

The previous prime is 45581822983. The next prime is 45581823011. The reversal of 45581823001 is 10032818554.

The square root of 45581823001 is 213499.

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

45581823001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42263001 + 45539560000 = 6501^2 + 213400^2 .

It is not a de Polignac number, because 45581823001 - 2⁵ = 45581822969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45581823011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30529611 + ... + 30531103.

Almost surely, 2^45581823001 is an apocalyptic number.

45581823001 is the 213499-th square number.

45581823001 is the 106750-th centered octagonal number.

It is an amenable number.

45581823001 is a deficient number, since it is larger than the sum of its proper divisors (8707363076).

45581823001 is an equidigital number, since it uses as much as digits as its factorization.

45581823001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The spelling of 45581823001 in words is "forty-five billion, five hundred eighty-one million, eight hundred twenty-three thousand, one".