45505045456 has 60 divisors (see below), whose sum is σ = 95867232780. Its totient is φ = 20914882560.

The previous prime is 45505045427. The next prime is 45505045489. The reversal of 45505045456 is 65454050554.

45505045456 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 6 ways, for example, as 14069755456 + 31435290000 = 118616^2 + 177300^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 616750 + ... + 686578.

It is an arithmetic number, because the mean of its divisors is an integer number (1597787213).

Almost surely, 2^45505045456 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 45505045456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47933616390).

45505045456 is an abundant number, since it is smaller than the sum of its proper divisors (50362187324).

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

45505045456 is a wasteful number, since it uses less digits than its factorization.

45505045456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70104 (or 70085 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 43.

The spelling of 45505045456 in words is "forty-five billion, five hundred five million, forty-five thousand, four hundred fifty-six".