45459719424 has 270 divisors, whose sum is σ = 157687228314. Its totient is φ = 12988200960.

The previous prime is 45459719419. The next prime is 45459719449. The reversal of 45459719424 is 42491795454.

45459719424 is a `hidden beast` number, since 4 + 5 + 4 + 597 + 1 + 9 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24096973824 + 21362745600 = 155232^2 + 146160^2 .

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

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 993694 + ... + 1038434.

Almost surely, 2^45459719424 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 45459719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78843614157).

45459719424 is an abundant number, since it is smaller than the sum of its proper divisors (112227508890).

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

45459719424 is an equidigital number, since it uses as much as digits as its factorization.

45459719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44783 (or 44753 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 45459719424 in words is "forty-five billion, four hundred fifty-nine million, seven hundred nineteen thousand, four hundred twenty-four".