23728434912 has 288 divisors, whose sum is σ = 83309571072. Its totient is φ = 6238467072.

The previous prime is 23728434901. The next prime is 23728434929. The reversal of 23728434912 is 21943482732.

23728434912 is a `hidden beast` number, since 23 + 7 + 284 + 349 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9617103 + ... + 9619569.

It is an arithmetic number, because the mean of its divisors is an integer number (289269344).

Almost surely, 2^23728434912 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 23728434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41654785536).

23728434912 is an abundant number, since it is smaller than the sum of its proper divisors (59581136160).

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

23728434912 is a wasteful number, since it uses less digits than its factorization.

23728434912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2859 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 23728434912 in words is "twenty-three billion, seven hundred twenty-eight million, four hundred thirty-four thousand, nine hundred twelve".