45204044544 has 180 divisors, whose sum is σ = 136806281304. Its totient is φ = 14842662912.

The previous prime is 45204044527. The next prime is 45204044549. The reversal of 45204044544 is 44544040254.

45204044544 is a `hidden beast` number, since 4 + 5 + 204 + 0 + 445 + 4 + 4 = 666.

It is a super-3 number, since 3×45204044544³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45204044499 and 45204044508.

It is not an unprimeable number, because it can be changed into a prime (45204044549) 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 19 ways as a sum of consecutive naturals, for example, 1373044 + ... + 1405580.

Almost surely, 2^45204044544 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 45204044544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68403140652).

45204044544 is an abundant number, since it is smaller than the sum of its proper divisors (91602236760).

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

45204044544 is an equidigital number, since it uses as much as digits as its factorization.

45204044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32632 (or 32609 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 45204044544 its reverse (44544040254), we get a palindrome (89748084798).

The spelling of 45204044544 in words is "forty-five billion, two hundred four million, forty-four thousand, five hundred forty-four".