232705420000000 has 288 divisors, whose sum is σ = 585769776988032. Its totient is φ = 92257536000000.

The previous prime is 232705419999953. The next prime is 232705420000037. The reversal of 232705420000000 is 24507232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 232705420000000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2259948517 + ... + 2260051483.

It is an arithmetic number, because the mean of its divisors is an integer number (2033922836764).

Almost surely, 2^{232705420000000} is an apocalyptic number.

232705420000000 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 232705420000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292884888494016).

232705420000000 is an abundant number, since it is smaller than the sum of its proper divisors (353064356988032).

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

232705420000000 is an frugal number, since it uses more digits than its factorization.

232705420000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103131 (or 103087 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

Adding to 232705420000000 its reverse (24507232), we get a palindrome (232705444507232).

The spelling of 232705420000000 in words is "two hundred thirty-two trillion, seven hundred five billion, four hundred twenty million", and thus it is an aban number.