2232609732864 has 243 divisors, whose sum is σ = 7489814093307. Its totient is φ = 637745052672.

The previous prime is 2232609732853. The next prime is 2232609732869. The reversal of 2232609732864 is 4682379062322.

The square root of 2232609732864 is 1494192.

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

2232609732864 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 609 + 7 + 3 + 28 + 6 + 4 = 666.

It is a super-3 number, since 3×2232609732864³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2232609732864.

It is not an unprimeable number, because it can be changed into a prime (2232609732869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 502046289 + ... + 502050735.

Almost surely, 2^{2232609732864} is an apocalyptic number.

2232609732864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2232609732864 is the 1494192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232609732864

2232609732864 is an abundant number, since it is smaller than the sum of its proper divisors (5257204360443).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2232609732864 is an frugal number, since it uses more digits than its factorization.

2232609732864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8930 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2232609732864 in words is "two trillion, two hundred thirty-two billion, six hundred nine million, seven hundred thirty-two thousand, eight hundred sixty-four".