45365166 has 96 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 11592000.

The previous prime is 45365161. The next prime is 45365207. The reversal of 45365166 is 66156354.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45365166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45365161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98176 + ... + 98636.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^45365166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45365166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

45365166 is an abundant number, since it is smaller than the sum of its proper divisors (79175250).

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

45365166 is a wasteful number, since it uses less digits than its factorization.

45365166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 45365166 is about 6735.3668051562. The cubic root of 45365166 is about 356.6488555852.

The spelling of 45365166 in words is "forty-five million, three hundred sixty-five thousand, one hundred sixty-six".