23075684352 has 544 divisors, whose sum is σ = 82543272960. Its totient is φ = 6306398208.

The previous prime is 23075684351. The next prime is 23075684353. The reversal of 23075684352 is 25348657032.

23075684352 is a `hidden beast` number, since 2 + 30 + 7 + 568 + 4 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (23075684351) and next prime (23075684353).

It is a junction number, because it is equal to n+sod(n) for n = 23075684298 and 23075684307.

It is not an unprimeable number, because it can be changed into a prime (23075684351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003290613 + ... + 1003290635.

Almost surely, 2^23075684352 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 23075684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41271636480).

23075684352 is an abundant number, since it is smaller than the sum of its proper divisors (59467588608).

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

23075684352 is an frugal number, since it uses more digits than its factorization.

23075684352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 23075684352 in words is "twenty-three billion, seventy-five million, six hundred eighty-four thousand, three hundred fifty-two".