234000000000000 has 1092 divisors, whose sum is σ = 909944457262386. Its totient is φ = 57600000000000.

The previous prime is 233999999999981. The next prime is 234000000000029. The reversal of 234000000000000 is 432.

It can be written as a sum of positive squares in 13 ways, for example, as 86602529378304 + 147397470621696 = 9306048^2 + 12140736^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 233999999999892 and 233999999999901.

It is an unprimeable number.

It is a polite number, since it can be written in 77 ways as a sum of consecutive naturals, for example, 17999999999994 + ... + 18000000000006.

Almost surely, 2^{234000000000000} is an apocalyptic number.

234000000000000 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 234000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454972228631193).

234000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (675944457262386).

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

234000000000000 is an frugal number, since it uses more digits than its factorization.

234000000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 234000000000000 its reverse (432), we get a palindrome (234000000000432).

The spelling of 234000000000000 in words is "two hundred thirty-four trillion", and thus it is an aban number.