23543838864 has 480 divisors, whose sum is σ = 87311554560. Its totient is φ = 5936426496.

The previous prime is 23543838859. The next prime is 23543838869. The reversal of 23543838864 is 46883834532.

23543838864 is a `hidden beast` number, since 2 + 3 + 543 + 8 + 38 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (23543838859) and next prime (23543838869).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23543838864.

It is not an unprimeable number, because it can be changed into a prime (23543838869) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 11753287 + ... + 11755289.

It is an arithmetic number, because the mean of its divisors is an integer number (181899072).

Almost surely, 2^23543838864 is an apocalyptic number.

23543838864 is a gapful number since it is divisible by the number (24) 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 23543838864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43655777280).

23543838864 is an abundant number, since it is smaller than the sum of its proper divisors (63767715696).

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

23543838864 is a wasteful number, since it uses less digits than its factorization.

23543838864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2051 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 23543838864 in words is "twenty-three billion, five hundred forty-three million, eight hundred thirty-eight thousand, eight hundred sixty-four".