219498894912 has 112 divisors (see below), whose sum is σ = 635554158912. Its totient is φ = 66304788480.

The previous prime is 219498894911. The next prime is 219498894913.

219498894912 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (219498894911) and next prime (219498894913).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (219498894911) 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 15 ways as a sum of consecutive naturals, for example, 505578 + ... + 833430.

Almost surely, 2^219498894912 is an apocalyptic number.

219498894912 is a gapful number since it is divisible by the number (22) 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 219498894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317777079456).

219498894912 is an abundant number, since it is smaller than the sum of its proper divisors (416055264000).

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

219498894912 is a wasteful number, since it uses less digits than its factorization.

219498894912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328196 (or 328186 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 66.

The spelling of 219498894912 in words is "two hundred nineteen billion, four hundred ninety-eight million, eight hundred ninety-four thousand, nine hundred twelve".