234112723141248 has 2560 divisors, whose sum is σ = 891556459200000. Its totient is φ = 60714132111360.

The previous prime is 234112723141189. The next prime is 234112723141289. The reversal of 234112723141248 is 842141327211432.

234112723141248 is a `hidden beast` number, since 2 + 3 + 4 + 11 + 272 + 314 + 12 + 48 = 666.

It is a super-2 number, since 2×234112723141248² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 307638269188 + ... + 307638269948.

It is an arithmetic number, because the mean of its divisors is an integer number (348264241875).

Almost surely, 2^{234112723141248} is an apocalyptic number.

234112723141248 is a gapful number since it is divisible by the number (28) 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 234112723141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445778229600000).

234112723141248 is an abundant number, since it is smaller than the sum of its proper divisors (657443736058752).

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

234112723141248 is a wasteful number, since it uses less digits than its factorization.

234112723141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 978 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 234112723141248 in words is "two hundred thirty-four trillion, one hundred twelve billion, seven hundred twenty-three million, one hundred forty-one thousand, two hundred forty-eight".