233490654720801 has 9 divisors (see below), whose sum is σ = 337264345256241. Its totient is φ = 155660405919732.

The previous prime is 233490654720793. The next prime is 233490654720803. The reversal of 233490654720801 is 108027456094332.

The square root of 233490654720801 is 15280401.

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

233490654720801 is a `hidden beast` number, since 2 + 3 + 3 + 4 + 90 + 6 + 5 + 472 + 0 + 80 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 233490654720801 - 2³ = 233490654720793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233490654720803) 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 8 ways as a sum of consecutive naturals, for example, 43294470 + ... + 48387936.

It is a 1-persistent number, because it is pandigital, but 2⋅233490654720801 = 466981309441602 is not.

Almost surely, 2^{233490654720801} is an apocalyptic number.

233490654720801 is the 15280401-st square number.

233490654720801 is the 7640201-st centered octagonal number.

It is an amenable number.

233490654720801 is a deficient number, since it is larger than the sum of its proper divisors (103773690535440).

233490654720801 is an frugal number, since it uses more digits than its factorization.

233490654720801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186940 (or 5093470 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 233490654720801 in words is "two hundred thirty-three trillion, four hundred ninety billion, six hundred fifty-four million, seven hundred twenty thousand, eight hundred one".