23395436064 has 960 divisors, whose sum is σ = 94420795392. Its totient is φ = 5486745600.

The previous prime is 23395436063. The next prime is 23395436069. The reversal of 23395436064 is 46063459332.

23395436064 is a `hidden beast` number, since 2 + 3 + 39 + 5 + 4 + 3 + 606 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (23395436063) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 184215969 + ... + 184216095.

Almost surely, 2^23395436064 is an apocalyptic number.

23395436064 is a gapful number since it is divisible by the number (24) 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 23395436064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47210397696).

23395436064 is an abundant number, since it is smaller than the sum of its proper divisors (71025359328).

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

23395436064 is a wasteful number, since it uses less digits than its factorization.

23395436064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 23395436064 in words is "twenty-three billion, three hundred ninety-five million, four hundred thirty-six thousand, sixty-four".