18612605274000 has 640 divisors, whose sum is σ = 61782074265600. Its totient is φ = 4818930278400.

The previous prime is 18612605273989. The next prime is 18612605274023. The reversal of 18612605274000 is 47250621681.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18446585496 + ... + 18446586504.

It is an arithmetic number, because the mean of its divisors is an integer number (96534491040).

Almost surely, 2^{18612605274000} is an apocalyptic number.

18612605274000 is a gapful number since it is divisible by the number (10) 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 18612605274000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30891037132800).

18612605274000 is an abundant number, since it is smaller than the sum of its proper divisors (43169468991600).

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

18612605274000 is a wasteful number, since it uses less digits than its factorization.

18612605274000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

Adding to 18612605274000 its reverse (47250621681), we get a palindrome (18659855895681).

The spelling of 18612605274000 in words is "eighteen trillion, six hundred twelve billion, six hundred five million, two hundred seventy-four thousand".