45259583424 has 336 divisors, whose sum is σ = 135471225120. Its totient is φ = 13320806400.

The previous prime is 45259583423. The next prime is 45259583437. The reversal of 45259583424 is 42438595254.

45259583424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (6912000) is a multiple of the sum of its prime factors (500).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45259583423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154469422 + ... + 154469714.

It is an arithmetic number, because the mean of its divisors is an integer number (403188170).

Almost surely, 2^45259583424 is an apocalyptic number.

45259583424 is a gapful number since it is divisible by the number (44) 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 45259583424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67735612560).

45259583424 is an abundant number, since it is smaller than the sum of its proper divisors (90211641696).

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

45259583424 is a wasteful number, since it uses less digits than its factorization.

45259583424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 479 counting only the distinct ones).

The product of its digits is 6912000, while the sum is 51.

The spelling of 45259583424 in words is "forty-five billion, two hundred fifty-nine million, five hundred eighty-three thousand, four hundred twenty-four".