45855648 has 72 divisors (see below), whose sum is σ = 131940900. Its totient is φ = 15105024.

The previous prime is 45855643. The next prime is 45855659. The reversal of 45855648 is 84655854.

45855648 is a `hidden beast` number, since 4 + 5 + 85 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45319824 + 535824 = 6732^2 + 732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45855643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24738 + ... + 26526.

Almost surely, 2^45855648 is an apocalyptic number.

45855648 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 45855648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65970450).

45855648 is an abundant number, since it is smaller than the sum of its proper divisors (86085252).

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

45855648 is a wasteful number, since it uses less digits than its factorization.

45855648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

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

The square root of 45855648 is about 6771.6798506722. The cubic root of 45855648 is about 357.9295971750.

The spelling of 45855648 in words is "forty-five million, eight hundred fifty-five thousand, six hundred forty-eight".