45058498560 has 448 divisors, whose sum is σ = 162498389760. Its totient is φ = 11991711744.

The previous prime is 45058498559. The next prime is 45058498579. The reversal of 45058498560 is 6589485054.

45058498560 is a `hidden beast` number, since 4 + 5 + 0 + 584 + 9 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45058498497 and 45058498506.

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 31 ways as a sum of consecutive naturals, for example, 89579269 + ... + 89579771.

It is an arithmetic number, because the mean of its divisors is an integer number (362719620).

Almost surely, 2^45058498560 is an apocalyptic number.

45058498560 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 45058498560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81249194880).

45058498560 is an abundant number, since it is smaller than the sum of its proper divisors (117439891200).

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

45058498560 is an frugal number, since it uses more digits than its factorization.

45058498560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 45058498560 in words is "forty-five billion, fifty-eight million, four hundred ninety-eight thousand, five hundred sixty".