234146242641432 has 256 divisors, whose sum is σ = 656291289600000. Its totient is φ = 69584438077440.

The previous prime is 234146242641403. The next prime is 234146242641533.

It is a happy number.

234146242641432 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4061554944 + ... + 4061612592.

It is an arithmetic number, because the mean of its divisors is an integer number (2563637850000).

Almost surely, 2^{234146242641432} is an apocalyptic number.

234146242641432 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 234146242641432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328145644800000).

234146242641432 is an abundant number, since it is smaller than the sum of its proper divisors (422145046958568).

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

234146242641432 is a wasteful number, since it uses less digits than its factorization.

234146242641432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60143 (or 60117 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 234146242641432 in words is "two hundred thirty-four trillion, one hundred forty-six billion, two hundred forty-two million, six hundred forty-one thousand, four hundred thirty-two".