234768013200 has 480 divisors, whose sum is σ = 956067379200. Its totient is φ = 53599726080.

The previous prime is 234768013111. The next prime is 234768013241. The reversal of 234768013200 is 2310867432.

It is a happy number.

234768013200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115137781 + ... + 115139819.

It is an arithmetic number, because the mean of its divisors is an integer number (1991807040).

Almost surely, 2^234768013200 is an apocalyptic number.

234768013200 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 234768013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033689600).

234768013200 is an abundant number, since it is smaller than the sum of its proper divisors (721299366000).

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

234768013200 is a wasteful number, since it uses less digits than its factorization.

234768013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 234768013200 in words is "two hundred thirty-four billion, seven hundred sixty-eight million, thirteen thousand, two hundred".