45543905344 has 84 divisors (see below), whose sum is σ = 105280222764. Its totient is φ = 19491204096.

The previous prime is 45543905321. The next prime is 45543905359. The reversal of 45543905344 is 44350934554.

It can be written as a sum of positive squares in 2 ways, for example, as 20552089600 + 24991815744 = 143360^2 + 158088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45543905294 and 45543905303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2288782 + ... + 2308594.

Almost surely, 2^45543905344 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 45543905344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52640111382).

45543905344 is an abundant number, since it is smaller than the sum of its proper divisors (59736317420).

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

45543905344 is a wasteful number, since it uses less digits than its factorization.

45543905344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572 (or 20555 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 46.

The spelling of 45543905344 in words is "forty-five billion, five hundred forty-three million, nine hundred five thousand, three hundred forty-four".