45171143160 has 256 divisors, whose sum is σ = 162211714560. Its totient is φ = 9917306880.

The previous prime is 45171143137. The next prime is 45171143239. The reversal of 45171143160 is 6134117154.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 884647 + ... + 934313.

It is an arithmetic number, because the mean of its divisors is an integer number (633639510).

Almost surely, 2^45171143160 is an apocalyptic number.

45171143160 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 45171143160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81105857280).

45171143160 is an abundant number, since it is smaller than the sum of its proper divisors (117040571400).

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

45171143160 is a wasteful number, since it uses less digits than its factorization.

45171143160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49758 (or 49754 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 45171143160 in words is "forty-five billion, one hundred seventy-one million, one hundred forty-three thousand, one hundred sixty".