23681129472 has 1056 divisors, whose sum is σ = 97853543424. Its totient is φ = 5308416000.

The previous prime is 23681129453. The next prime is 23681129473. The reversal of 23681129472 is 27492118632.

23681129472 is a `hidden beast` number, since 2 + 3 + 68 + 112 + 9 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23681129473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 156828597 + ... + 156828747.

Almost surely, 2^23681129472 is an apocalyptic number.

23681129472 is a gapful number since it is divisible by the number (22) 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 23681129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48926771712).

23681129472 is an abundant number, since it is smaller than the sum of its proper divisors (74172413952).

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

23681129472 is a wasteful number, since it uses less digits than its factorization.

23681129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 23681129472 in words is "twenty-three billion, six hundred eighty-one million, one hundred twenty-nine thousand, four hundred seventy-two".