221705688162075 has 48 divisors (see below), whose sum is σ = 407483685374976. Its totient is φ = 105626531318400.

The previous prime is 221705688162059. The next prime is 221705688162151. The reversal of 221705688162075 is 570261886507122.

It is a happy number.

It is not a de Polignac number, because 221705688162075 - 2⁴ = 221705688162059 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3667557669 + ... + 3667618118.

It is an arithmetic number, because the mean of its divisors is an integer number (8489243445312).

Almost surely, 2^{221705688162075} is an apocalyptic number.

221705688162075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

221705688162075 is a deficient number, since it is larger than the sum of its proper divisors (185777997212901).

221705688162075 is a wasteful number, since it uses less digits than its factorization.

221705688162075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335175844 (or 7335175839 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 60.

The spelling of 221705688162075 in words is "two hundred twenty-one trillion, seven hundred five billion, six hundred eighty-eight million, one hundred sixty-two thousand, seventy-five".