234203323302432 has 864 divisors, whose sum is σ = 773875444305600. Its totient is φ = 66950135746560.

The previous prime is 234203323302419. The next prime is 234203323302433.

234203323302432 is a `hidden beast` number, since 2 + 3 + 4 + 20 + 3 + 323 + 302 + 4 + 3 + 2 = 666.

234203323302432 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×234203323302432² (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 not an unprimeable number, because it can be changed into a prime (234203323302433) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 316919246319 + ... + 316919247057.

It is an arithmetic number, because the mean of its divisors is an integer number (895689171650).

Almost surely, 2^{234203323302432} is an apocalyptic number.

234203323302432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234203323302432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386937722152800).

234203323302432 is an abundant number, since it is smaller than the sum of its proper divisors (539672121003168).

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

234203323302432 is a wasteful number, since it uses less digits than its factorization.

234203323302432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 36.

The spelling of 234203323302432 in words is "two hundred thirty-four trillion, two hundred three billion, three hundred twenty-three million, three hundred two thousand, four hundred thirty-two".