219023064001 has 15 divisors (see below), whose sum is σ = 255538459553. Its totient is φ = 187714398900.

The previous prime is 219023063993. The next prime is 219023064041. The reversal of 219023064001 is 100460320912.

The square root of 219023064001 is 467999.

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

It is not a de Polignac number, because 219023064001 - 2³ = 219023063993 is a prime.

It is a super-3 number, since 3×219023064001³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (219023064041) 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 14 ways as a sum of consecutive naturals, for example, 22927176 + ... + 22936726.

Almost surely, 2^219023064001 is an apocalyptic number.

219023064001 is the 467999-th square number.

219023064001 is the 234000-th centered octagonal number.

It is an amenable number.

219023064001 is a deficient number, since it is larger than the sum of its proper divisors (36515395552).

219023064001 is an frugal number, since it uses more digits than its factorization.

219023064001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19130 (or 9558 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 219023064001 its reverse (100460320912), we get a palindrome (319483384913).

The spelling of 219023064001 in words is "two hundred nineteen billion, twenty-three million, sixty-four thousand, one".