23684466448632 has 256 divisors, whose sum is σ = 68268730521600. Its totient is φ = 6779639623680.

The previous prime is 23684466448619. The next prime is 23684466448651.

It is a happy number.

23684466448632 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 63 ways as a sum of consecutive naturals, for example, 1092798948 + ... + 1092820620.

It is an arithmetic number, because the mean of its divisors is an integer number (266674728600).

Almost surely, 2^{23684466448632} is an apocalyptic number.

23684466448632 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 23684466448632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34134365260800).

23684466448632 is an abundant number, since it is smaller than the sum of its proper divisors (44584264072968).

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

23684466448632 is a wasteful number, since it uses less digits than its factorization.

23684466448632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24806 (or 24802 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 66.

The spelling of 23684466448632 in words is "twenty-three trillion, six hundred eighty-four billion, four hundred sixty-six million, four hundred forty-eight thousand, six hundred thirty-two".