45360224001 has 12 divisors (see below), whose sum is σ = 65523228628. Its totient is φ = 30238808544.

The previous prime is 45360223967. The next prime is 45360224059. The reversal of 45360224001 is 10042206354.

45360224001 is a `hidden beast` number, since 4 + 53 + 602 + 2 + 4 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35175377601 + 10184846400 = 187551^2 + 100920^2 .

It is not a de Polignac number, because 45360224001 - 2⁷ = 45360223873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45360224201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 130071 + ... + 328083.

Almost surely, 2^45360224001 is an apocalyptic number.

It is an amenable number.

45360224001 is a deficient number, since it is larger than the sum of its proper divisors (20163004627).

45360224001 is a wasteful number, since it uses less digits than its factorization.

45360224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223472 (or 223469 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

It can be divided in two parts, 45360 and 224001, that added together give a square (269361 = 519²).

The spelling of 45360224001 in words is "forty-five billion, three hundred sixty million, two hundred twenty-four thousand, one".