233144450513352 has 192 divisors, whose sum is σ = 722304700790400. Its totient is φ = 66551136537600.

The previous prime is 233144450513333. The next prime is 233144450513357. The reversal of 233144450513352 is 253315054441332.

233144450513352 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 4 + 4 + 4 + 505 + 133 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233144450513298 and 233144450513307.

It is not an unprimeable number, because it can be changed into a prime (233144450513357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4863332599 + ... + 4863380537.

It is an arithmetic number, because the mean of its divisors is an integer number (3762003649950).

Almost surely, 2^{233144450513352} 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 233144450513352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361152350395200).

233144450513352 is an abundant number, since it is smaller than the sum of its proper divisors (489160250277048).

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

233144450513352 is a wasteful number, since it uses less digits than its factorization.

233144450513352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56676 (or 56669 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 233144450513352 in words is "two hundred thirty-three trillion, one hundred forty-four billion, four hundred fifty million, five hundred thirteen thousand, three hundred fifty-two".