45011020064 has 96 divisors (see below), whose sum is σ = 94647268800. Its totient is φ = 21010406400.

The previous prime is 45011020051. The next prime is 45011020163. The reversal of 45011020064 is 46002011054.

45011020064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13938002 + ... + 13941230.

It is an arithmetic number, because the mean of its divisors is an integer number (985909050).

Almost surely, 2^45011020064 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 45011020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47323634400).

45011020064 is an abundant number, since it is smaller than the sum of its proper divisors (49636248736).

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

45011020064 is a wasteful number, since it uses less digits than its factorization.

45011020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 45011020064 in words is "forty-five billion, eleven million, twenty thousand, sixty-four".