219053201798916 has 135 divisors (see below), whose sum is σ = 574262348992101. Its totient is φ = 72812510948736.

The previous prime is 219053201798911. The next prime is 219053201798917. The reversal of 219053201798916 is 619897102350912.

The square root of 219053201798916 is 14800446.

It is a perfect power (a square), and thus also a powerful number.

219053201798916 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 532 + 0 + 1 + 7 + 9 + 8 + 91 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5808630212100 + 213244571586816 = 2410110^2 + 14602896^2 .

It is a super-3 number, since 3×219053201798916³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (219053201798911) 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 44 ways as a sum of consecutive naturals, for example, 116953123356 + ... + 116953125228.

Almost surely, 2^{219053201798916} is an apocalyptic number.

219053201798916 is the 14800446-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219053201798916

219053201798916 is an abundant number, since it is smaller than the sum of its proper divisors (355209147193185).

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

219053201798916 is an frugal number, since it uses more digits than its factorization.

219053201798916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 219053201798916 in words is "two hundred nineteen trillion, fifty-three billion, two hundred one million, seven hundred ninety-eight thousand, nine hundred sixteen".