618255648 has 72 divisors (see below), whose sum is σ = 1765216908. Its totient is φ = 205258752.

The previous prime is 618255641. The next prime is 618255689. The reversal of 618255648 is 846552816.

618255648 is a `hidden beast` number, since 6 + 1 + 82 + 5 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 519292944 + 98962704 = 22788^2 + 9948^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (618255641) 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 11 ways as a sum of consecutive naturals, for example, 69840 + ... + 78192.

Almost surely, 2^618255648 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 618255648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882608454).

618255648 is an abundant number, since it is smaller than the sum of its proper divisors (1146961260).

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

618255648 is a wasteful number, since it uses less digits than its factorization.

618255648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8615 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 618255648 is about 24864.7470930231. The cubic root of 618255648 is about 851.9014631795.

The spelling of 618255648 in words is "six hundred eighteen million, two hundred fifty-five thousand, six hundred forty-eight".