233213573664 has 72 divisors (see below), whose sum is σ = 663915748860. Its totient is φ = 77654089728.

The previous prime is 233213573651. The next prime is 233213573707. The reversal of 233213573664 is 466375312332.

233213573664 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 13 + 573 + 6 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 205154643600 + 28058930064 = 452940^2 + 167508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×233213573664² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168277 + ... + 703380.

Almost surely, 2^233213573664 is an apocalyptic number.

233213573664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233213573664 is an abundant number, since it is smaller than the sum of its proper divisors (430702175196).

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

233213573664 is a wasteful number, since it uses less digits than its factorization.

233213573664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872602 (or 872591 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 45.

Adding to 233213573664 its reverse (466375312332), we get a palindrome (699588885996).

The spelling of 233213573664 in words is "two hundred thirty-three billion, two hundred thirteen million, five hundred seventy-three thousand, six hundred sixty-four".