233234024241312 has 144 divisors (see below), whose sum is σ = 668639387025792. Its totient is φ = 77116564408320.

The previous prime is 233234024241269. The next prime is 233234024241371. The reversal of 233234024241312 is 213142420432332.

233234024241312 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 3 + 402 + 4 + 241 + 3 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×233234024241312² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11134648 + ... + 24299144.

It is an arithmetic number, because the mean of its divisors is an integer number (4643329076568).

Almost surely, 2^{233234024241312} 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 233234024241312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334319693512896).

233234024241312 is an abundant number, since it is smaller than the sum of its proper divisors (435405362784480).

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

233234024241312 is a wasteful number, since it uses less digits than its factorization.

233234024241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165011 (or 13165000 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 233234024241312 its reverse (213142420432332), we get a palindrome (446376444673644).

The spelling of 233234024241312 in words is "two hundred thirty-three trillion, two hundred thirty-four billion, twenty-four million, two hundred forty-one thousand, three hundred twelve".