45387648 has 128 divisors (see below), whose sum is σ = 140025600. Its totient is φ = 14446080.

The previous prime is 45387623. The next prime is 45387649. The reversal of 45387648 is 84678354.

45387648 is a `hidden beast` number, since 4 + 538 + 76 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45387649) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79203 + ... + 79773.

It is an arithmetic number, because the mean of its divisors is an integer number (1093950).

Almost surely, 2^45387648 is an apocalyptic number.

45387648 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 45387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70012800).

45387648 is an abundant number, since it is smaller than the sum of its proper divisors (94637952).

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

45387648 is a wasteful number, since it uses less digits than its factorization.

45387648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 45387648 is about 6737.0355498543. The cubic root of 45387648 is about 356.7077616879.

The spelling of 45387648 in words is "forty-five million, three hundred eighty-seven thousand, six hundred forty-eight".