45045227520 has 280 divisors, whose sum is σ = 161497519524. Its totient is φ = 12011175936.

The previous prime is 45045227501. The next prime is 45045227527. The reversal of 45045227520 is 2572254054.

45045227520 is a `hidden beast` number, since 45 + 0 + 4 + 522 + 75 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 42759622656 + 2285604864 = 206784^2 + 47808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45045227527) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3310972 + ... + 3324548.

Almost surely, 2^45045227520 is an apocalyptic number.

45045227520 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 45045227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80748759762).

45045227520 is an abundant number, since it is smaller than the sum of its proper divisors (116452292004).

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

45045227520 is an equidigital number, since it uses as much as digits as its factorization.

45045227520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13620 (or 13587 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 36.

The spelling of 45045227520 in words is "forty-five billion, forty-five million, two hundred twenty-seven thousand, five hundred twenty".