218368136448 has 216 divisors, whose sum is σ = 784967916096. Its totient is φ = 56718950400.

The previous prime is 218368136407. The next prime is 218368136453. The reversal of 218368136448 is 844631863812.

It is a happy number.

218368136448 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 68 + 136 + 448 = 666.

218368136448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 218368136394 and 218368136403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438033 + ... + 792848.

Almost surely, 2^218368136448 is an apocalyptic number.

218368136448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

218368136448 is an abundant number, since it is smaller than the sum of its proper divisors (566599779648).

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

218368136448 is a wasteful number, since it uses less digits than its factorization.

218368136448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230921 (or 1230904 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 218368136448 in words is "two hundred eighteen billion, three hundred sixty-eight million, one hundred thirty-six thousand, four hundred forty-eight".