45027003168 has 720 divisors, whose sum is σ = 166017962880. Its totient is φ = 11898399744.

The previous prime is 45027003157. The next prime is 45027003169. The reversal of 45027003168 is 86130072054.

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 (45027003169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 113417946 + ... + 113418342.

It is an arithmetic number, because the mean of its divisors is an integer number (230580504).

Almost surely, 2^45027003168 is an apocalyptic number.

45027003168 is a gapful number since it is divisible by the number (48) 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 45027003168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83008981440).

45027003168 is an abundant number, since it is smaller than the sum of its proper divisors (120990959712).

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

45027003168 is a wasteful number, since it uses less digits than its factorization.

45027003168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 45027003168 in words is "forty-five billion, twenty-seven million, three thousand, one hundred sixty-eight".