23145956064 has 1152 divisors, whose sum is σ = 92990177280. Its totient is φ = 5486745600.

The previous prime is 23145956039. The next prime is 23145956069. The reversal of 23145956064 is 46065954132.

23145956064 is a `hidden beast` number, since 2 + 31 + 4 + 5 + 9 + 5 + 606 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23145956069) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538278027 + ... + 538278069.

It is an arithmetic number, because the mean of its divisors is an integer number (80720640).

Almost surely, 2^23145956064 is an apocalyptic number.

23145956064 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 23145956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46495088640).

23145956064 is an abundant number, since it is smaller than the sum of its proper divisors (69844221216).

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

23145956064 is a wasteful number, since it uses less digits than its factorization.

23145956064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 23145956064 in words is "twenty-three billion, one hundred forty-five million, nine hundred fifty-six thousand, sixty-four".