45171603840 has 384 divisors, whose sum is σ = 159614300160. Its totient is φ = 10857369600.

The previous prime is 45171603823. The next prime is 45171603847. The reversal of 45171603840 is 4830617154.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45171603847) 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 47 ways as a sum of consecutive naturals, for example, 29503875 + ... + 29505405.

It is an arithmetic number, because the mean of its divisors is an integer number (415662240).

Almost surely, 2^45171603840 is an apocalyptic number.

45171603840 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 45171603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79807150080).

45171603840 is an abundant number, since it is smaller than the sum of its proper divisors (114442696320).

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

45171603840 is a wasteful number, since it uses less digits than its factorization.

45171603840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 45171603840 in words is "forty-five billion, one hundred seventy-one million, six hundred three thousand, eight hundred forty".