10234335444352 has 64 divisors (see below), whose sum is σ = 20640684279600. Its totient is φ = 5054224656384.

The previous prime is 10234335444343. The next prime is 10234335444353. The reversal of 10234335444352 is 25344453343201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10234335444299 and 10234335444308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234335444353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3265783 + ... + 5579785.

Almost surely, 2^{10234335444352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234335444352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320342139800).

10234335444352 is an abundant number, since it is smaller than the sum of its proper divisors (10406348835248).

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

10234335444352 is a wasteful number, since it uses less digits than its factorization.

10234335444352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314443 (or 2314431 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 43.

Adding to 10234335444352 its reverse (25344453343201), we get a palindrome (35578788787553).

The spelling of 10234335444352 in words is "ten trillion, two hundred thirty-four billion, three hundred thirty-five million, four hundred forty-four thousand, three hundred fifty-two".