234142648320 has 768 divisors, whose sum is σ = 954432460800. Its totient is φ = 47704965120.

The previous prime is 234142648283. The next prime is 234142648321. The reversal of 234142648320 is 23846241432.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (234142648321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69456235 + ... + 69459605.

It is an arithmetic number, because the mean of its divisors is an integer number (1242750600).

Almost surely, 2^234142648320 is an apocalyptic number.

234142648320 is a gapful number since it is divisible by the number (20) 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 234142648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477216230400).

234142648320 is an abundant number, since it is smaller than the sum of its proper divisors (720289812480).

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

234142648320 is a wasteful number, since it uses less digits than its factorization.

234142648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

Adding to 234142648320 its reverse (23846241432), we get a palindrome (257988889752).

The spelling of 234142648320 in words is "two hundred thirty-four billion, one hundred forty-two million, six hundred forty-eight thousand, three hundred twenty".