218896698096 has 240 divisors, whose sum is σ = 634879365120. Its totient is φ = 70359045120.

The previous prime is 218896698077. The next prime is 218896698107. The reversal of 218896698096 is 690896698812.

218896698096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332164615 + ... + 332165273.

It is an arithmetic number, because the mean of its divisors is an integer number (2645330688).

Almost surely, 2^218896698096 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 218896698096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317439682560).

218896698096 is an abundant number, since it is smaller than the sum of its proper divisors (415982667024).

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

218896698096 is a wasteful number, since it uses less digits than its factorization.

218896698096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 218896698096 in words is "two hundred eighteen billion, eight hundred ninety-six million, six hundred ninety-eight thousand, ninety-six".