219988449344384 has 256 divisors, whose sum is σ = 512330974404480. Its totient is φ = 92137145597952.

The previous prime is 219988449344381. The next prime is 219988449344393. The reversal of 219988449344384 is 483443944889912.

It is a junction number, because it is equal to n+sod(n) for n = 219988449344299 and 219988449344308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219988449344381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39473969822 + ... + 39473975394.

Almost surely, 2^{219988449344384} 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 219988449344384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256165487202240).

219988449344384 is an abundant number, since it is smaller than the sum of its proper divisors (292342525060096).

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

219988449344384 is a wasteful number, since it uses less digits than its factorization.

219988449344384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8777 (or 8765 counting only the distinct ones).

The product of its digits is 6879707136, while the sum is 80.

The spelling of 219988449344384 in words is "two hundred nineteen trillion, nine hundred eighty-eight billion, four hundred forty-nine million, three hundred forty-four thousand, three hundred eighty-four".