45599472480 has 192 divisors, whose sum is σ = 150245383680. Its totient is φ = 11603091456.

The previous prime is 45599472467. The next prime is 45599472481. The reversal of 45599472480 is 8427499554.

It is a self number, because there is not a number n which added to its sum of digits gives 45599472480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45599472481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4775551 + ... + 4785089.

It is an arithmetic number, because the mean of its divisors is an integer number (782528040).

Almost surely, 2^45599472480 is an apocalyptic number.

45599472480 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 45599472480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75122691840).

45599472480 is an abundant number, since it is smaller than the sum of its proper divisors (104645911200).

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

45599472480 is a wasteful number, since it uses less digits than its factorization.

45599472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 45599472480 in words is "forty-five billion, five hundred ninety-nine million, four hundred seventy-two thousand, four hundred eighty".