23381613283968 has 512 divisors, whose sum is σ = 77198012928000. Its totient is φ = 6923601100800.

The previous prime is 23381613283943. The next prime is 23381613283981. The reversal of 23381613283968 is 86938231618332.

It is a happy number.

23381613283968 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 1 + 613 + 2 + 8 + 3 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×23381613283968² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302475403 + ... + 302552693.

It is an arithmetic number, because the mean of its divisors is an integer number (150777369000).

Almost surely, 2^{23381613283968} 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 23381613283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38599006464000).

23381613283968 is an abundant number, since it is smaller than the sum of its proper divisors (53816399644032).

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

23381613283968 is a wasteful number, since it uses less digits than its factorization.

23381613283968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77621 (or 77603 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 63.

The spelling of 23381613283968 in words is "twenty-three trillion, three hundred eighty-one billion, six hundred thirteen million, two hundred eighty-three thousand, nine hundred sixty-eight".