45164444256176 has 160 divisors (see below), whose sum is σ = 101732842252800. Its totient is φ = 19023526545408.

The previous prime is 45164444256143. The next prime is 45164444256187. The reversal of 45164444256176 is 67165244446154.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10385016050 + ... + 10385020398.

It is an arithmetic number, because the mean of its divisors is an integer number (635830264080).

Almost surely, 2^{45164444256176} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45164444256176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50866421126400).

45164444256176 is an abundant number, since it is smaller than the sum of its proper divisors (56568397996624).

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

45164444256176 is a wasteful number, since it uses less digits than its factorization.

45164444256176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7285 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 59.

The spelling of 45164444256176 in words is "forty-five trillion, one hundred sixty-four billion, four hundred forty-four million, two hundred fifty-six thousand, one hundred seventy-six".