218082050784 has 288 divisors, whose sum is σ = 710998041600. Its totient is φ = 64936235520.

The previous prime is 218082050743. The next prime is 218082050821. The reversal of 218082050784 is 487050280812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4502407 + ... + 4550585.

It is an arithmetic number, because the mean of its divisors is an integer number (2468743200).

Almost surely, 2^218082050784 is an apocalyptic number.

218082050784 is a gapful number since it is divisible by the number (24) 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 218082050784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355499020800).

218082050784 is an abundant number, since it is smaller than the sum of its proper divisors (492915990816).

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

218082050784 is a wasteful number, since it uses less digits than its factorization.

218082050784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48255 (or 48228 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 218082050784 in words is "two hundred eighteen billion, eighty-two million, fifty thousand, seven hundred eighty-four".