23133648384 has 640 divisors, whose sum is σ = 86611599360. Its totient is φ = 5922201600.

The previous prime is 23133648367. The next prime is 23133648427. The reversal of 23133648384 is 48384633132.

23133648384 is a `hidden beast` number, since 231 + 3 + 36 + 4 + 8 + 384 = 666.

23133648384 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×23133648384² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 109638039 + ... + 109638249.

It is an arithmetic number, because the mean of its divisors is an integer number (135330624).

Almost surely, 2^23133648384 is an apocalyptic number.

23133648384 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 23133648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43305799680).

23133648384 is an abundant number, since it is smaller than the sum of its proper divisors (63477950976).

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

23133648384 is a wasteful number, since it uses less digits than its factorization.

23133648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 337 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 23133648384 in words is "twenty-three billion, one hundred thirty-three million, six hundred forty-eight thousand, three hundred eighty-four".