219692602964961 has 81 divisors (see below), whose sum is σ = 374453451223059. Its totient is φ = 123758030037600.

The previous prime is 219692602964951. The next prime is 219692602964993. The reversal of 219692602964961 is 169469206296912.

The square root of 219692602964961 is 14822031.

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

219692602964961 is a `hidden beast` number, since 2 + 1 + 9 + 6 + 9 + 2 + 602 + 9 + 6 + 4 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44197073361 + 219648405891600 = 210231^2 + 14820540^2 .

It is not a de Polignac number, because 219692602964961 - 2¹⁷ = 219692602833889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 219692602964961.

It is not an unprimeable number, because it can be changed into a prime (219692602964911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 22099643251 + ... + 22099653191.

Almost surely, 2^{219692602964961} is an apocalyptic number.

219692602964961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

219692602964961 is the 14822031-st square number.

219692602964961 is the 7411016-th centered octagonal number.

It is an amenable number.

219692602964961 is a deficient number, since it is larger than the sum of its proper divisors (154760848258098).

219692602964961 is an frugal number, since it uses more digits than its factorization.

219692602964961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20044 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 72.

The spelling of 219692602964961 in words is "two hundred nineteen trillion, six hundred ninety-two billion, six hundred two million, nine hundred sixty-four thousand, nine hundred sixty-one".