45264559520 has 96 divisors (see below), whose sum is σ = 111019144320. Its totient is φ = 17419207680.

The previous prime is 45264559519. The next prime is 45264559523. The reversal of 45264559520 is 2595546254.

45264559520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45264559523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1295885 + ... + 1330355.

It is an arithmetic number, because the mean of its divisors is an integer number (1156449420).

Almost surely, 2^45264559520 is an apocalyptic number.

45264559520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45264559520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55509572160).

45264559520 is an abundant number, since it is smaller than the sum of its proper divisors (65754584800).

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

45264559520 is a wasteful number, since it uses less digits than its factorization.

45264559520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34798 (or 34790 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 47.

The spelling of 45264559520 in words is "forty-five billion, two hundred sixty-four million, five hundred fifty-nine thousand, five hundred twenty".