218941071336 has 128 divisors (see below), whose sum is σ = 655431840000. Its totient is φ = 67317122304.

The previous prime is 218941071317. The next prime is 218941071343. The reversal of 218941071336 is 633170149812.

218941071336 is a `hidden beast` number, since 21 + 89 + 410 + 7 + 133 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 218941071291 and 218941071300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3900526 + ... + 3956258.

It is an arithmetic number, because the mean of its divisors is an integer number (5120561250).

Almost surely, 2^218941071336 is an apocalyptic number.

218941071336 is a gapful number since it is divisible by the number (26) 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 218941071336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327715920000).

218941071336 is an abundant number, since it is smaller than the sum of its proper divisors (436490768664).

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

218941071336 is a wasteful number, since it uses less digits than its factorization.

218941071336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57160 (or 57150 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 218941071336 in words is "two hundred eighteen billion, nine hundred forty-one million, seventy-one thousand, three hundred thirty-six".