23681983104 has 192 divisors, whose sum is σ = 75181415400. Its totient is φ = 7108853760.

The previous prime is 23681983049. The next prime is 23681983123. The reversal of 23681983104 is 40138918632.

It can be written as a sum of positive squares in 4 ways, for example, as 11783536704 + 11898446400 = 108552^2 + 109080^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 23681983104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594732 + ... + 633300.

Almost surely, 2^23681983104 is an apocalyptic number.

23681983104 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 23681983104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37590707700).

23681983104 is an abundant number, since it is smaller than the sum of its proper divisors (51499432296).

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

23681983104 is a wasteful number, since it uses less digits than its factorization.

23681983104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38643 (or 38628 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 23681983104 in words is "twenty-three billion, six hundred eighty-one million, nine hundred eighty-three thousand, one hundred four".