23672331648 has 320 divisors, whose sum is σ = 84754982400. Its totient is φ = 6407175168.

The previous prime is 23672331643. The next prime is 23672331659. The reversal of 23672331648 is 84613327632.

23672331648 is a `hidden beast` number, since 2 + 367 + 233 + 16 + 48 = 666.

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 (23672331643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1370361 + ... + 1387527.

It is an arithmetic number, because the mean of its divisors is an integer number (264859320).

Almost surely, 2^23672331648 is an apocalyptic number.

23672331648 is a gapful number since it is divisible by the number (28) 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 23672331648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42377491200).

23672331648 is an abundant number, since it is smaller than the sum of its proper divisors (61082650752).

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

23672331648 is a wasteful number, since it uses less digits than its factorization.

23672331648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17219 (or 17198 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 23672331648 in words is "twenty-three billion, six hundred seventy-two million, three hundred thirty-one thousand, six hundred forty-eight".