23132761344 has 432 divisors, whose sum is σ = 84210706944. Its totient is φ = 5932339200.

The previous prime is 23132761319. The next prime is 23132761349. The reversal of 23132761344 is 44316723132.

23132761344 is a `hidden beast` number, since 2 + 3 + 1 + 32 + 7 + 613 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 23132761299 and 23132761308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132761349) 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, 14724079 + ... + 14725649.

It is an arithmetic number, because the mean of its divisors is an integer number (194932192).

Almost surely, 2^23132761344 is an apocalyptic number.

23132761344 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 23132761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42105353472).

23132761344 is an abundant number, since it is smaller than the sum of its proper divisors (61077945600).

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

23132761344 is a wasteful number, since it uses less digits than its factorization.

23132761344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1677 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The spelling of 23132761344 in words is "twenty-three billion, one hundred thirty-two million, seven hundred sixty-one thousand, three hundred forty-four".