233964722601 has 9 divisors (see below), whose sum is σ = 337951139799. Its totient is φ = 155975514336.

The previous prime is 233964722567. The next prime is 233964722639. The reversal of 233964722601 is 106227469332.

The square root of 233964722601 is 483699.

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

233964722601 is a `hidden beast` number, since 2 + 3 + 39 + 6 + 4 + 7 + 2 + 2 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 192093741225 + 41870981376 = 438285^2 + 204624^2 .

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

It is not a de Polignac number, because 233964722601 - 2¹¹ = 233964720553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (233964742601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1370481 + ... + 1531713.

Almost surely, 2^233964722601 is an apocalyptic number.

233964722601 is the 483699-th square number.

233964722601 is the 241850-th centered octagonal number.

It is an amenable number.

233964722601 is a deficient number, since it is larger than the sum of its proper divisors (103986417198).

233964722601 is an frugal number, since it uses more digits than its factorization.

233964722601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322472 (or 161236 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 233964722601 in words is "two hundred thirty-three billion, nine hundred sixty-four million, seven hundred twenty-two thousand, six hundred one".