218691042048 has 792 divisors, whose sum is σ = 743001342048. Its totient is φ = 63852281856.

The previous prime is 218691042013. The next prime is 218691042067. The reversal of 218691042048 is 840240196812.

218691042048 is a `hidden beast` number, since 2 + 186 + 9 + 1 + 0 + 420 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 218691041994 and 218691042012.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 5910568686 + ... + 5910568722.

Almost surely, 2^218691042048 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 218691042048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371500671024).

218691042048 is an abundant number, since it is smaller than the sum of its proper divisors (524310300000).

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

218691042048 is an frugal number, since it uses more digits than its factorization.

218691042048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 218691042048 in words is "two hundred eighteen billion, six hundred ninety-one million, forty-two thousand, forty-eight".