23253414642 has 96 divisors (see below), whose sum is σ = 52367762304. Its totient is φ = 7451308800.

The previous prime is 23253414637. The next prime is 23253414643. The reversal of 23253414642 is 24641435232.

23253414642 is a `hidden beast` number, since 2 + 3 + 2 + 5 + 3 + 4 + 1 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23253414597 and 23253414606.

It is not an unprimeable number, because it can be changed into a prime (23253414643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27133078 + ... + 27133934.

It is an arithmetic number, because the mean of its divisors is an integer number (545497524).

Almost surely, 2^23253414642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23253414642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26183881152).

23253414642 is an abundant number, since it is smaller than the sum of its proper divisors (29114347662).

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

23253414642 is a wasteful number, since it uses less digits than its factorization.

23253414642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1341 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 23253414642 its reverse (24641435232), we get a palindrome (47894849874).

The spelling of 23253414642 in words is "twenty-three billion, two hundred fifty-three million, four hundred fourteen thousand, six hundred forty-two".