234282667248 has 200 divisors, whose sum is σ = 776175404928. Its totient is φ = 66832138368.

The previous prime is 234282667189. The next prime is 234282667259. The reversal of 234282667248 is 842766282432.

234282667248 is a `hidden beast` number, since 234 + 282 + 66 + 72 + 4 + 8 = 666.

234282667248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 234282667194 and 234282667203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5813215 + ... + 5853377.

Almost surely, 2^234282667248 is an apocalyptic number.

234282667248 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 234282667248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388087702464).

234282667248 is an abundant number, since it is smaller than the sum of its proper divisors (541892737680).

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

234282667248 is a wasteful number, since it uses less digits than its factorization.

234282667248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40833 (or 40818 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 234282667248 in words is "two hundred thirty-four billion, two hundred eighty-two million, six hundred sixty-seven thousand, two hundred forty-eight".