18346274299008 has 960 divisors, whose sum is σ = 60455678837400. Its totient is φ = 5502916362240.

The previous prime is 18346274298959. The next prime is 18346274299009. The reversal of 18346274299008 is 80099247264381.

18346274299008 is a `hidden beast` number, since 1 + 83 + 46 + 2 + 7 + 429 + 90 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14211753943104 + 4134520355904 = 3769848^2 + 2033352^2 .

It is not an unprimeable number, because it can be changed into a prime (18346274299009) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 15074998816 + ... + 15075000032.

Almost surely, 2^{18346274299008} is an apocalyptic number.

18346274299008 is a gapful number since it is divisible by the number (18) 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 18346274299008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30227839418700).

18346274299008 is an abundant number, since it is smaller than the sum of its proper divisors (42109404538392).

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

18346274299008 is a wasteful number, since it uses less digits than its factorization.

18346274299008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 18346274299008 in words is "eighteen trillion, three hundred forty-six billion, two hundred seventy-four million, two hundred ninety-nine thousand, eight".