18270797481216 has 864 divisors, whose sum is σ = 66600819532800. Its totient is φ = 4912466227200.

The previous prime is 18270797481151. The next prime is 18270797481259. The reversal of 18270797481216 is 61218479707281.

18270797481216 is a `hidden beast` number, since 1 + 8 + 2 + 70 + 79 + 7 + 481 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 971686471 + ... + 971705273.

Almost surely, 2^{18270797481216} is an apocalyptic number.

18270797481216 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 18270797481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33300409766400).

18270797481216 is an abundant number, since it is smaller than the sum of its proper divisors (48330022051584).

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

18270797481216 is a wasteful number, since it uses less digits than its factorization.

18270797481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19012 (or 18985 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 18270797481216 in words is "eighteen trillion, two hundred seventy billion, seven hundred ninety-seven million, four hundred eighty-one thousand, two hundred sixteen".