23168642112 has 896 divisors, whose sum is σ = 90450984960. Its totient is φ = 5640192000.

The previous prime is 23168642111. The next prime is 23168642137. The reversal of 23168642112 is 21124686132.

It is a happy number.

23168642112 is a `hidden beast` number, since 2 + 3 + 1 + 6 + 8 + 642 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23168642111) 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, 169114108 + ... + 169114244.

It is an arithmetic number, because the mean of its divisors is an integer number (100949760).

Almost surely, 2^23168642112 is an apocalyptic number.

23168642112 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 23168642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45225492480).

23168642112 is an abundant number, since it is smaller than the sum of its proper divisors (67282342848).

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

23168642112 is a wasteful number, since it uses less digits than its factorization.

23168642112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 23168642112 in words is "twenty-three billion, one hundred sixty-eight million, six hundred forty-two thousand, one hundred twelve".