18601341792 has 192 divisors, whose sum is σ = 57714902784. Its totient is φ = 5181603840.

The previous prime is 18601341727. The next prime is 18601341797. The reversal of 18601341792 is 29714310681.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18601341797) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 759888 + ... + 783984.

It is an arithmetic number, because the mean of its divisors is an integer number (300598452).

Almost surely, 2^18601341792 is an apocalyptic number.

18601341792 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 18601341792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28857451392).

18601341792 is an abundant number, since it is smaller than the sum of its proper divisors (39113560992).

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

18601341792 is a wasteful number, since it uses less digits than its factorization.

18601341792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24181 (or 24173 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 18601341792 in words is "eighteen billion, six hundred one million, three hundred forty-one thousand, seven hundred ninety-two".