235134443123712 has 1232 divisors, whose sum is σ = 779604299989632. Its totient is φ = 70258292490240.

The previous prime is 235134443123683. The next prime is 235134443123737. The reversal of 235134443123712 is 217321344431532.

235134443123712 is a `hidden beast` number, since 2 + 3 + 5 + 13 + 4 + 443 + 123 + 71 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 268112249418 + ... + 268112250294.

Almost surely, 2^{235134443123712} is an apocalyptic number.

235134443123712 is a gapful number since it is divisible by the number (22) 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 235134443123712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389802149994816).

235134443123712 is an abundant number, since it is smaller than the sum of its proper divisors (544469856865920).

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

235134443123712 is a wasteful number, since it uses less digits than its factorization.

235134443123712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1313 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 235134443123712 in words is "two hundred thirty-five trillion, one hundred thirty-four billion, four hundred forty-three million, one hundred twenty-three thousand, seven hundred twelve".