18494181216 has 144 divisors (see below), whose sum is σ = 60409440000. Its totient is φ = 5257384704.

The previous prime is 18494181203. The next prime is 18494181229. The reversal of 18494181216 is 61218149481.

18494181216 is a `hidden beast` number, since 18 + 4 + 9 + 418 + 1 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (18494181203) and next prime (18494181229).

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 378135 + ... + 424233.

It is an arithmetic number, because the mean of its divisors is an integer number (419510000).

Almost surely, 2^18494181216 is an apocalyptic number.

18494181216 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 18494181216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30204720000).

18494181216 is an abundant number, since it is smaller than the sum of its proper divisors (41915258784).

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

18494181216 is a wasteful number, since it uses less digits than its factorization.

18494181216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46321 (or 46310 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 18494181216 in words is "eighteen billion, four hundred ninety-four million, one hundred eighty-one thousand, two hundred sixteen".