23133936672 has 288 divisors, whose sum is σ = 82196674560. Its totient is φ = 5995906560.

The previous prime is 23133936667. The next prime is 23133936673. The reversal of 23133936672 is 27663933132.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (23133936673) 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, 14613193 + ... + 14614775.

It is an arithmetic number, because the mean of its divisors is an integer number (285405120).

Almost surely, 2^23133936672 is an apocalyptic number.

23133936672 is a gapful number since it is divisible by the number (22) 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 23133936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41098337280).

23133936672 is an abundant number, since it is smaller than the sum of its proper divisors (59062737888).

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

23133936672 is a wasteful number, since it uses less digits than its factorization.

23133936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2265 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

It can be divided in two parts, 23133 and 936672, that added together give a triangular number (959805 = T₁₃₈₅).

The spelling of 23133936672 in words is "twenty-three billion, one hundred thirty-three million, nine hundred thirty-six thousand, six hundred seventy-two".