23638137159168 has 480 divisors, whose sum is σ = 79788148440000. Its totient is φ = 6734244593664.

The previous prime is 23638137159163. The next prime is 23638137159181. The reversal of 23638137159168 is 86195173183632.

23638137159168 is a `hidden beast` number, since 2 + 3 + 6 + 3 + 8 + 1 + 37 + 1 + 591 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23638137159163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551588430 + ... + 551631282.

It is an arithmetic number, because the mean of its divisors is an integer number (166225309250).

Almost surely, 2^{23638137159168} is an apocalyptic number.

23638137159168 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 23638137159168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39894074220000).

23638137159168 is an abundant number, since it is smaller than the sum of its proper divisors (56150011280832).

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

23638137159168 is an equidigital number, since it uses as much as digits as its factorization.

23638137159168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43247 (or 43214 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 23638137159168 in words is "twenty-three trillion, six hundred thirty-eight billion, one hundred thirty-seven million, one hundred fifty-nine thousand, one hundred sixty-eight".