18513852909000 has 512 divisors, whose sum is σ = 62976408768000. Its totient is φ = 4510420992000.

The previous prime is 18513852908983. The next prime is 18513852909043. The reversal of 18513852909000 is 90925831581.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1456286644 + ... + 1456299356.

It is an arithmetic number, because the mean of its divisors is an integer number (123000798375).

Almost surely, 2^{18513852909000} is an apocalyptic number.

18513852909000 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 18513852909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31488204384000).

18513852909000 is an abundant number, since it is smaller than the sum of its proper divisors (44462555859000).

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

18513852909000 is a wasteful number, since it uses less digits than its factorization.

18513852909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 51.

The spelling of 18513852909000 in words is "eighteen trillion, five hundred thirteen billion, eight hundred fifty-two million, nine hundred nine thousand".