18513665001216 has 864 divisors, whose sum is σ = 69062116032000. Its totient is φ = 4727109058560.

The previous prime is 18513665001197. The next prime is 18513665001217. The reversal of 18513665001216 is 61210056631581.

It is a happy number.

18513665001216 is a `hidden beast` number, since 1 + 8 + 5 + 13 + 6 + 6 + 500 + 121 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18513665001217) 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 95 ways as a sum of consecutive naturals, for example, 512868480 + ... + 512904576.

Almost surely, 2^{18513665001216} is an apocalyptic number.

18513665001216 is a gapful number since it is divisible by the number (16) 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 18513665001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34531058016000).

18513665001216 is an abundant number, since it is smaller than the sum of its proper divisors (50548451030784).

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

18513665001216 is a wasteful number, since it uses less digits than its factorization.

18513665001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36210 (or 36179 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 18513665001216 in words is "eighteen trillion, five hundred thirteen billion, six hundred sixty-five million, one thousand, two hundred sixteen".