45666288 has 80 divisors (see below), whose sum is σ = 134668960. Its totient is φ = 14805504.

The previous prime is 45666287. The next prime is 45666289. The reversal of 45666288 is 88266654.

It is an interprime number because it is at equal distance from previous prime (45666287) and next prime (45666289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45666287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14556 + ... + 17412.

It is an arithmetic number, because the mean of its divisors is an integer number (1683362).

Almost surely, 2^45666288 is an apocalyptic number.

45666288 is a gapful number since it is divisible by the number (48) 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 45666288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67334480).

45666288 is an abundant number, since it is smaller than the sum of its proper divisors (89002672).

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

45666288 is a wasteful number, since it uses less digits than its factorization.

45666288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2899 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 45666288 is about 6757.6836268059. The cubic root of 45666288 is about 357.4362296804.

It can be divided in two parts, 45666 and 288, that added together give a palindrome (45954).

The spelling of 45666288 in words is "forty-five million, six hundred sixty-six thousand, two hundred eighty-eight".