45585648 has 30 divisors (see below), whose sum is σ = 127576904. Its totient is φ = 15195168.

The previous prime is 45585647. The next prime is 45585649. The reversal of 45585648 is 84658554.

45585648 is a `hidden beast` number, since 4 + 5 + 585 + 64 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (45585647) and next prime (45585649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45585641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158140 + ... + 158427.

Almost surely, 2^45585648 is an apocalyptic number.

45585648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45585648 is an abundant number, since it is smaller than the sum of its proper divisors (81991256).

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

45585648 is a wasteful number, since it uses less digits than its factorization.

45585648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316581 (or 316572 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 45585648 is about 6751.7144489381. The cubic root of 45585648 is about 357.2257123118.

The spelling of 45585648 in words is "forty-five million, five hundred eighty-five thousand, six hundred forty-eight".