219921605764 has 243 divisors, whose sum is σ = 495831099141. Its totient is φ = 85087739520.

The previous prime is 219921605759. The next prime is 219921605767. The reversal of 219921605764 is 467506129912.

The square root of 219921605764 is 468958.

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

It can be written as a sum of positive squares in only one way, i.e., 10597055364 + 209324550400 = 102942^2 + 457520^2 .

It is not an unprimeable number, because it can be changed into a prime (219921605767) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5114455927 + ... + 5114455969.

Almost surely, 2^219921605764 is an apocalyptic number.

219921605764 is the 468958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219921605764

219921605764 is an abundant number, since it is smaller than the sum of its proper divisors (275909493377).

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

219921605764 is a wasteful number, since it uses less digits than its factorization.

219921605764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 219921605764 in words is "two hundred nineteen billion, nine hundred twenty-one million, six hundred five thousand, seven hundred sixty-four".