23108630688000 has 1728 divisors, whose sum is σ = 99968073004800. Its totient is φ = 5050515456000.

The previous prime is 23108630687981. The next prime is 23108630688007. The reversal of 23108630688000 is 88603680132.

23108630688000 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 8 + 630 + 6 + 8 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (23108630688007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1770905476 + ... + 1770918524.

It is an arithmetic number, because the mean of its divisors is an integer number (57851894100).

Almost surely, 2^{23108630688000} is an apocalyptic number.

23108630688000 is a gapful number since it is divisible by the number (20) 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 23108630688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49984036502400).

23108630688000 is an abundant number, since it is smaller than the sum of its proper divisors (76859442316800).

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

23108630688000 is a wasteful number, since it uses less digits than its factorization.

23108630688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13153 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 23108630688000 in words is "twenty-three trillion, one hundred eight billion, six hundred thirty million, six hundred eighty-eight thousand".