234138789900288 has 2912 divisors, whose sum is σ = 915914925488640. Its totient is φ = 58150724567040.

The previous prime is 234138789900217. The next prime is 234138789900289. The reversal of 234138789900288 is 882009987831432.

234138789900288 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 387 + 89 + 90 + 0 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234138789900289) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 338840506023 + ... + 338840506713.

Almost surely, 2^{234138789900288} is an apocalyptic number.

234138789900288 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 234138789900288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457957462744320).

234138789900288 is an abundant number, since it is smaller than the sum of its proper divisors (681776135588352).

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

234138789900288 is an equidigital number, since it uses as much as digits as its factorization.

234138789900288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 234138789900288 in words is "two hundred thirty-four trillion, one hundred thirty-eight billion, seven hundred eighty-nine million, nine hundred thousand, two hundred eighty-eight".