45648468 has 144 divisors (see below), whose sum is σ = 133781760. Its totient is φ = 13406976.

The previous prime is 45648397. The next prime is 45648479. The reversal of 45648468 is 86484654.

45648468 is a `hidden beast` number, since 4 + 564 + 84 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971221 + ... + 971267.

It is an arithmetic number, because the mean of its divisors is an integer number (929040).

Almost surely, 2^45648468 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 45648468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66890880).

45648468 is an abundant number, since it is smaller than the sum of its proper divisors (88133292).

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

45648468 is a wasteful number, since it uses less digits than its factorization.

45648468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 45648468 is about 6756.3649990213. The cubic root of 45648468 is about 357.3897304459.

The spelling of 45648468 in words is "forty-five million, six hundred forty-eight thousand, four hundred sixty-eight".