23648284632 has 96 divisors (see below), whose sum is σ = 68247072000. Its totient is φ = 6689270400.

The previous prime is 23648284619. The next prime is 23648284661.

It is a happy number.

23648284632 is nontrivially palindromic in base 10.

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 23 ways as a sum of consecutive naturals, for example, 1706869 + ... + 1720667.

It is an arithmetic number, because the mean of its divisors is an integer number (710907000).

Almost surely, 2^23648284632 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 23648284632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34123536000).

23648284632 is an abundant number, since it is smaller than the sum of its proper divisors (44598787368).

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

23648284632 is a wasteful number, since it uses less digits than its factorization.

23648284632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14017 (or 13912 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 23648284632 in words is "twenty-three billion, six hundred forty-eight million, two hundred eighty-four thousand, six hundred thirty-two".