18082606645248 has 256 divisors, whose sum is σ = 49564776898560. Its totient is φ = 5860654055424.

The previous prime is 18082606645231. The next prime is 18082606645339. The reversal of 18082606645248 is 84254660628081.

It is a tau number, because it is divible by the number of its divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 18082606645191 and 18082606645200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 942627465 + ... + 942646647.

It is an arithmetic number, because the mean of its divisors is an integer number (193612409760).

Almost surely, 2^{18082606645248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18082606645248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24782388449280).

18082606645248 is an abundant number, since it is smaller than the sum of its proper divisors (31482170253312).

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

18082606645248 is an equidigital number, since it uses as much as digits as its factorization.

18082606645248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19482 (or 19454 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 18082606645248 in words is "eighteen trillion, eighty-two billion, six hundred six million, six hundred forty-five thousand, two hundred forty-eight".