18217755648 has 132 divisors (see below), whose sum is σ = 53827879248. Its totient is φ = 5931233280.

The previous prime is 18217755643. The next prime is 18217755671. The reversal of 18217755648 is 84655771281.

18217755648 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 7 + 75 + 564 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18217755594 and 18217755603.

It is not an unprimeable number, because it can be changed into a prime (18217755643) 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, 373303 + ... + 419273.

It is an arithmetic number, because the mean of its divisors is an integer number (407786964).

Almost surely, 2^18217755648 is an apocalyptic number.

18217755648 is a gapful number since it is divisible by the number (18) 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 18217755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26913939624).

18217755648 is an abundant number, since it is smaller than the sum of its proper divisors (35610123600).

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

18217755648 is a wasteful number, since it uses less digits than its factorization.

18217755648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46040 (or 46019 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The spelling of 18217755648 in words is "eighteen billion, two hundred seventeen million, seven hundred fifty-five thousand, six hundred forty-eight".