221269902153217 has 16 divisors (see below), whose sum is σ = 230588424594000. Its totient is φ = 212064187847680.

The previous prime is 221269902153203. The next prime is 221269902153241. The reversal of 221269902153217 is 712351209962122.

221269902153217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5877177155521 + 215392724997696 = 2424289^2 + 14676264^2 .

It is a cyclic number.

It is not a de Polignac number, because 221269902153217 - 2⁴⁷ = 80532413797889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221269902153917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49709667 + ... + 53977687.

It is an arithmetic number, because the mean of its divisors is an integer number (14411776537125).

Almost surely, 2^{221269902153217} is an apocalyptic number.

It is an amenable number.

221269902153217 is a deficient number, since it is larger than the sum of its proper divisors (9318522440783).

221269902153217 is a wasteful number, since it uses less digits than its factorization.

221269902153217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281236.

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

The spelling of 221269902153217 in words is "two hundred twenty-one trillion, two hundred sixty-nine billion, nine hundred two million, one hundred fifty-three thousand, two hundred seventeen".