234033141330432 has 120 divisors (see below), whose sum is σ = 688179558476124. Its totient is φ = 76539140481024.

The previous prime is 234033141330407. The next prime is 234033141330451.

234033141330432 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 3 + 314 + 1 + 3 + 304 + 32 = 666.

234033141330432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 234026845860096 + 6295470336 = 15297936^2 + 79344^2 .

It is a super-2 number, since 2×234033141330432² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 478892023 + ... + 479380470.

Almost surely, 2^{234033141330432} is an apocalyptic number.

It is an amenable number.

234033141330432 is an abundant number, since it is smaller than the sum of its proper divisors (454146417145692).

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

234033141330432 is an equidigital number, since it uses as much as digits as its factorization.

234033141330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958272570 (or 958272551 counting only the distinct ones).

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

The spelling of 234033141330432 in words is "two hundred thirty-four trillion, thirty-three billion, one hundred forty-one million, three hundred thirty thousand, four hundred thirty-two".