218930236096 has 336 divisors, whose sum is σ = 540365521248. Its totient is φ = 87124377600.

The previous prime is 218930236087. The next prime is 218930236097. The reversal of 218930236096 is 690632039812.

It is not an unprimeable number, because it can be changed into a prime (218930236097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180485986 + ... + 180487198.

It is an arithmetic number, because the mean of its divisors is an integer number (1608230718).

Almost surely, 2^218930236096 is an apocalyptic number.

218930236096 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 218930236096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270182760624).

218930236096 is an abundant number, since it is smaller than the sum of its proper divisors (321435285152).

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

218930236096 is a wasteful number, since it uses less digits than its factorization.

218930236096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The spelling of 218930236096 in words is "two hundred eighteen billion, nine hundred thirty million, two hundred thirty-six thousand, ninety-six".