233684845661952 has 720 divisors, whose sum is σ = 722109943779840. Its totient is φ = 75115114905600.

The previous prime is 233684845661899. The next prime is 233684845661963. The reversal of 233684845661952 is 259166548486332.

233684845661952 is a `hidden beast` number, since 2 + 3 + 3 + 6 + 8 + 4 + 8 + 4 + 566 + 1 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64358259177 + ... + 64358262807.

It is an arithmetic number, because the mean of its divisors is an integer number (1002930477472).

Almost surely, 2^{233684845661952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233684845661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361054971889920).

233684845661952 is an abundant number, since it is smaller than the sum of its proper divisors (488425098117888).

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

233684845661952 is an equidigital number, since it uses as much as digits as its factorization.

233684845661952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4602 (or 4579 counting only the distinct ones).

The product of its digits is 1791590400, while the sum is 72.

The spelling of 233684845661952 in words is "two hundred thirty-three trillion, six hundred eighty-four billion, eight hundred forty-five million, six hundred sixty-one thousand, nine hundred fifty-two".