45018303168 has 224 divisors, whose sum is σ = 125451583488. Its totient is φ = 14229734400.

The previous prime is 45018303131. The next prime is 45018303173. The reversal of 45018303168 is 86130381054.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 129735571 + ... + 129735917.

It is an arithmetic number, because the mean of its divisors is an integer number (560051712).

Almost surely, 2^45018303168 is an apocalyptic number.

45018303168 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 45018303168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62725791744).

45018303168 is an abundant number, since it is smaller than the sum of its proper divisors (80433280320).

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

45018303168 is a wasteful number, since it uses less digits than its factorization.

45018303168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 45018303168 in words is "forty-five billion, eighteen million, three hundred three thousand, one hundred sixty-eight".