219133851088542 has 128 divisors (see below), whose sum is σ = 497596315926528. Its totient is φ = 63859321814400.

The previous prime is 219133851088519. The next prime is 219133851088597. The reversal of 219133851088542 is 245880158331912.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3362411617 + ... + 3362476787.

It is an arithmetic number, because the mean of its divisors is an integer number (3887471218176).

Almost surely, 2^{219133851088542} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219133851088542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248798157963264).

219133851088542 is an abundant number, since it is smaller than the sum of its proper divisors (278462464837986).

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

219133851088542 is a wasteful number, since it uses less digits than its factorization.

219133851088542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94854.

The product of its (nonzero) digits is 16588800, while the sum is 60.

The spelling of 219133851088542 in words is "two hundred nineteen trillion, one hundred thirty-three billion, eight hundred fifty-one million, eighty-eight thousand, five hundred forty-two".