23271681888 has 768 divisors, whose sum is σ = 92421181440. Its totient is φ = 5518098432.

The previous prime is 23271681887. The next prime is 23271681889. The reversal of 23271681888 is 88818617232.

It is an interprime number because it is at equal distance from previous prime (23271681887) and next prime (23271681889).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (23271681887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30741606 + ... + 30742362.

It is an arithmetic number, because the mean of its divisors is an integer number (120340080).

Almost surely, 2^23271681888 is an apocalyptic number.

23271681888 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 23271681888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46210590720).

23271681888 is an abundant number, since it is smaller than the sum of its proper divisors (69149499552).

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

23271681888 is a wasteful number, since it uses less digits than its factorization.

23271681888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 822 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 23271681888 in words is "twenty-three billion, two hundred seventy-one million, six hundred eighty-one thousand, eight hundred eighty-eight".