234867606768432 has 180 divisors, whose sum is σ = 722953693054320. Its totient is φ = 71126341482240.

The previous prime is 234867606768343. The next prime is 234867606768437.

234867606768432 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 6 + 7 + 606 + 7 + 6 + 8 + 4 + 3 + 2 = 666.

234867606768432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (234867606768437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22840878 + ... + 31487154.

Almost surely, 2^{234867606768432} is an apocalyptic number.

234867606768432 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 234867606768432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361476846527160).

234867606768432 is an abundant number, since it is smaller than the sum of its proper divisors (488086086285888).

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

234867606768432 is a wasteful number, since it uses less digits than its factorization.

234867606768432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8647872 (or 8647852 counting only the distinct ones).

The product of its (nonzero) digits is 2341011456, while the sum is 72.

The spelling of 234867606768432 in words is "two hundred thirty-four trillion, eight hundred sixty-seven billion, six hundred six million, seven hundred sixty-eight thousand, four hundred thirty-two".