234313040313432 has 576 divisors, whose sum is σ = 690293560320000. Its totient is φ = 71683157855232.

The previous prime is 234313040313413. The next prime is 234313040313523.

234313040313432 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 1 + 304 + 0 + 3 + 1 + 343 + 2 = 666.

234313040313432 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97671128569 + ... + 97671130967.

It is an arithmetic number, because the mean of its divisors is an integer number (1198426320000).

Almost surely, 2^{234313040313432} 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 234313040313432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345146780160000).

234313040313432 is an abundant number, since it is smaller than the sum of its proper divisors (455980520006568).

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

234313040313432 is a wasteful number, since it uses less digits than its factorization.

234313040313432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 234313040313432 in words is "two hundred thirty-four trillion, three hundred thirteen billion, forty million, three hundred thirteen thousand, four hundred thirty-two".