45054443520 has 360 divisors, whose sum is σ = 159268853016. Its totient is φ = 11777605632.

The previous prime is 45054443513. The next prime is 45054443521. The reversal of 45054443520 is 2534445054.

45054443520 is a `hidden beast` number, since 4 + 50 + 5 + 44 + 43 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13988265984 + 31066177536 = 118272^2 + 176256^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (45054443521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 39075264 + ... + 39076416.

Almost surely, 2^45054443520 is an apocalyptic number.

45054443520 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 45054443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79634426508).

45054443520 is an abundant number, since it is smaller than the sum of its proper divisors (114214409496).

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

45054443520 is a wasteful number, since it uses less digits than its factorization.

45054443520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

Adding to 45054443520 its reverse (2534445054), we get a palindrome (47588888574).

The spelling of 45054443520 in words is "forty-five billion, fifty-four million, four hundred forty-three thousand, five hundred twenty".