18561251119008 has 192 divisors, whose sum is σ = 55552150200960. Its totient is φ = 5379290984448.

The previous prime is 18561251118979. The next prime is 18561251119009. The reversal of 18561251119008 is 80091115216581.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (18561251119009) 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 31 ways as a sum of consecutive naturals, for example, 1839810 + ... + 6364542.

It is an arithmetic number, because the mean of its divisors is an integer number (289334115630).

Almost surely, 2^{18561251119008} 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 18561251119008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27776075100480).

18561251119008 is an abundant number, since it is smaller than the sum of its proper divisors (36990899081952).

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

18561251119008 is a wasteful number, since it uses less digits than its factorization.

18561251119008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4524951 (or 4524943 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 48.

The spelling of 18561251119008 in words is "eighteen trillion, five hundred sixty-one billion, two hundred fifty-one million, one hundred nineteen thousand, eight".