18240691752 has 192 divisors, whose sum is σ = 53766720000. Its totient is φ = 5728921344.

The previous prime is 18240691669. The next prime is 18240691757. The reversal of 18240691752 is 25719604281.

18240691752 is a `hidden beast` number, since 182 + 406 + 9 + 17 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 18240691698 and 18240691707.

It is not an unprimeable number, because it can be changed into a prime (18240691757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17388124 + ... + 17389172.

It is an arithmetic number, because the mean of its divisors is an integer number (280035000).

Almost surely, 2^18240691752 is an apocalyptic number.

18240691752 is a gapful number since it is divisible by the number (12) 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 18240691752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883360000).

18240691752 is an abundant number, since it is smaller than the sum of its proper divisors (35526028248).

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

18240691752 is a wasteful number, since it uses less digits than its factorization.

18240691752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18240691752 in words is "eighteen billion, two hundred forty million, six hundred ninety-one thousand, seven hundred fifty-two".