23454436513536 has 648 divisors, whose sum is σ = 79851861573120. Its totient is φ = 6600942931968.

The previous prime is 23454436513531. The next prime is 23454436513559. The reversal of 23454436513536 is 63531563445432.

It is a happy number.

23454436513536 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 4 + 43 + 65 + 1 + 3 + 536 = 666.

It is a super-2 number, since 2×23454436513536² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23454436513531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2162291665 + ... + 2162302511.

It is an arithmetic number, because the mean of its divisors is an integer number (123228181440).

Almost surely, 2^{23454436513536} 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 23454436513536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39925930786560).

23454436513536 is an abundant number, since it is smaller than the sum of its proper divisors (56397425059584).

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

23454436513536 is a wasteful number, since it uses less digits than its factorization.

23454436513536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11169 (or 11145 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 54.

Adding to 23454436513536 its reverse (63531563445432), we get a palindrome (86985999958968).

The spelling of 23454436513536 in words is "twenty-three trillion, four hundred fifty-four billion, four hundred thirty-six million, five hundred thirteen thousand, five hundred thirty-six".