233722668816081 has 27 divisors (see below), whose sum is σ = 348843136276713. Its totient is φ = 150787901311560.

The previous prime is 233722668816047. The next prime is 233722668816103. The reversal of 233722668816081 is 180618866227332.

The square root of 233722668816081 is 15287991.

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

233722668816081 is a `hidden beast` number, since 2 + 3 + 372 + 26 + 6 + 8 + 8 + 160 + 81 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-233722668816081 is a prime.

It is a super-2 number, since 2×233722668816081² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (233722668816031) 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 26 ways as a sum of consecutive naturals, for example, 1421700970 + ... + 1421865356.

Almost surely, 2^{233722668816081} is an apocalyptic number.

233722668816081 is the 15287991-st square number.

233722668816081 is the 7643996-th centered octagonal number.

It is an amenable number.

233722668816081 is a deficient number, since it is larger than the sum of its proper divisors (115120467460632).

233722668816081 is an frugal number, since it uses more digits than its factorization.

233722668816081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328842 (or 164421 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 233722668816081 in words is "two hundred thirty-three trillion, seven hundred twenty-two billion, six hundred sixty-eight million, eight hundred sixteen thousand, eighty-one".