45005044528080 has 1920 divisors, whose sum is σ = 198119799521280. Its totient is φ = 9240366366720.

The previous prime is 45005044528043. The next prime is 45005044528111. The reversal of 45005044528080 is 8082544050054.

45005044528080 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 5 + 0 + 44 + 528 + 0 + 80 = 666.

45005044528080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52149529729 + ... + 52149530591.

It is an arithmetic number, because the mean of its divisors is an integer number (103187395584).

Almost surely, 2^{45005044528080} is an apocalyptic number.

45005044528080 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 45005044528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99059899760640).

45005044528080 is an abundant number, since it is smaller than the sum of its proper divisors (153114754993200).

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

45005044528080 is a wasteful number, since it uses less digits than its factorization.

45005044528080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 45.

The spelling of 45005044528080 in words is "forty-five trillion, five billion, forty-four million, five hundred twenty-eight thousand, eighty".