45282449520 has 960 divisors, whose sum is σ = 200057195520. Its totient is φ = 9212037120.

The previous prime is 45282449501. The next prime is 45282449521. The reversal of 45282449520 is 2594428254.

45282449520 is a `hidden beast` number, since 4 + 5 + 2 + 82 + 4 + 49 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45282449521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96964327 + ... + 96964793.

It is an arithmetic number, because the mean of its divisors is an integer number (208392912).

Almost surely, 2^45282449520 is an apocalyptic number.

45282449520 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 45282449520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100028597760).

45282449520 is an abundant number, since it is smaller than the sum of its proper divisors (154774746000).

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

45282449520 is a wasteful number, since it uses less digits than its factorization.

45282449520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 45282449520 in words is "forty-five billion, two hundred eighty-two million, four hundred forty-nine thousand, five hundred twenty".