218972650890 has 384 divisors, whose sum is σ = 665342553600. Its totient is φ = 45943252992.

The previous prime is 218972650879. The next prime is 218972650891. The reversal of 218972650890 is 98056279812.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 218972650890.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218972650891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 323445232 + ... + 323445908.

It is an arithmetic number, because the mean of its divisors is an integer number (1732662900).

Almost surely, 2^218972650890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218972650890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332671276800).

218972650890 is an abundant number, since it is smaller than the sum of its proper divisors (446369902710).

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

218972650890 is a wasteful number, since it uses less digits than its factorization.

218972650890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 218972650890 in words is "two hundred eighteen billion, nine hundred seventy-two million, six hundred fifty thousand, eight hundred ninety".