45669312 has 224 divisors, whose sum is σ = 153619200. Its totient is φ = 13188096.

The previous prime is 45669307. The next prime is 45669317. The reversal of 45669312 is 21396654.

It is a happy number.

45669312 is a `hidden beast` number, since 4 + 566 + 93 + 1 + 2 = 666.

45669312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45669307) and next prime (45669317).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (38880) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45669317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 426763 + ... + 426869.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 2^45669312 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 45669312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

45669312 is an abundant number, since it is smaller than the sum of its proper divisors (107949888).

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

45669312 is a wasteful number, since it uses less digits than its factorization.

45669312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 45669312 is about 6757.9073684092. The cubic root of 45669312 is about 357.4441192590. Note that the first 3 decimals are identical.

The spelling of 45669312 in words is "forty-five million, six hundred sixty-nine thousand, three hundred twelve".