234068134987008 has 1008 divisors, whose sum is σ = 871783805692800. Its totient is φ = 61171883458560.

The previous prime is 234068134986997. The next prime is 234068134987009. The reversal of 234068134987008 is 800789431860432.

234068134987008 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 68 + 13 + 498 + 70 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234068134987009) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 719646178 + ... + 719971358.

It is an arithmetic number, because the mean of its divisors is an integer number (864864886600).

Almost surely, 2^{234068134987008} is an apocalyptic number.

234068134987008 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 234068134987008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891902846400).

234068134987008 is an abundant number, since it is smaller than the sum of its proper divisors (637715670705792).

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

234068134987008 is an equidigital number, since it uses as much as digits as its factorization.

234068134987008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325270 (or 325241 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 234068134987008 in words is "two hundred thirty-four trillion, sixty-eight billion, one hundred thirty-four million, nine hundred eighty-seven thousand, eight".