18916115712000 has 384 divisors, whose sum is σ = 67778842884480. Its totient is φ = 4656272179200.

The previous prime is 18916115711989. The next prime is 18916115712017. The reversal of 18916115712000 is 21751161981.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9036679 + ... + 10931321.

It is an arithmetic number, because the mean of its divisors is an integer number (176507403345).

Almost surely, 2^{18916115712000} is an apocalyptic number.

18916115712000 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 18916115712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33889421442240).

18916115712000 is an abundant number, since it is smaller than the sum of its proper divisors (48862727172480).

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

18916115712000 is a wasteful number, since it uses less digits than its factorization.

18916115712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894696 (or 1894666 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 42.

Adding to 18916115712000 its reverse (21751161981), we get a palindrome (18937866873981).

The spelling of 18916115712000 in words is "eighteen trillion, nine hundred sixteen billion, one hundred fifteen million, seven hundred twelve thousand".