45169181176320 has 640 divisors, whose sum is σ = 163596222028800. Its totient is φ = 11808866893824.

The previous prime is 45169181176261. The next prime is 45169181176321. The reversal of 45169181176320 is 2367118196154.

45169181176320 is a `hidden beast` number, since 4 + 516 + 9 + 1 + 8 + 117 + 6 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45169181176321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5799094986 + ... + 5799102774.

It is an arithmetic number, because the mean of its divisors is an integer number (255619096920).

It is a 1-persistent number, because it is pandigital, but 2⋅45169181176320 = 90338362352640 is not.

Almost surely, 2^{45169181176320} is an apocalyptic number.

45169181176320 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 45169181176320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81798111014400).

45169181176320 is an abundant number, since it is smaller than the sum of its proper divisors (118427040852480).

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

45169181176320 is a wasteful number, since it uses less digits than its factorization.

45169181176320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 45169181176320 in words is "forty-five trillion, one hundred sixty-nine billion, one hundred eighty-one million, one hundred seventy-six thousand, three hundred twenty".