218151648 has 144 divisors (see below), whose sum is σ = 728962416. Its totient is φ = 61009920.

The previous prime is 218151643. The next prime is 218151653. The reversal of 218151648 is 846151812.

218151648 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 5 + 1 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (218151643) and next prime (218151653).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218151643) 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 23 ways as a sum of consecutive naturals, for example, 38536 + ... + 43832.

It is an arithmetic number, because the mean of its divisors is an integer number (5062239).

Almost surely, 2^218151648 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 218151648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364481208).

218151648 is an abundant number, since it is smaller than the sum of its proper divisors (510810768).

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

218151648 is a wasteful number, since it uses less digits than its factorization.

218151648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337 (or 5326 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 218151648 is about 14769.9576167300. The cubic root of 218151648 is about 601.9856878236.

The spelling of 218151648 in words is "two hundred eighteen million, one hundred fifty-one thousand, six hundred forty-eight".