18131410801152 has 1920 divisors, whose sum is σ = 65341097902080. Its totient is φ = 4958226432000.

The previous prime is 18131410801099. The next prime is 18131410801177. The reversal of 18131410801152 is 25110801413181.

It is a happy number.

18131410801152 is a `hidden beast` number, since 1 + 8 + 13 + 1 + 410 + 80 + 1 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 66905574777 + ... + 66905575047.

It is an arithmetic number, because the mean of its divisors is an integer number (34031821824).

Almost surely, 2^{18131410801152} is an apocalyptic number.

18131410801152 is a gapful number since it is divisible by the number (12) 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 18131410801152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32670548951040).

18131410801152 is an abundant number, since it is smaller than the sum of its proper divisors (47209687100928).

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

18131410801152 is a wasteful number, since it uses less digits than its factorization.

18131410801152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 36.

The spelling of 18131410801152 in words is "eighteen trillion, one hundred thirty-one billion, four hundred ten million, eight hundred one thousand, one hundred fifty-two".