18071001000000 has 1323 divisors, whose sum is σ = 70758406839393. Its totient is φ = 4407436800000.

The previous prime is 18071000999911. The next prime is 18071001000001. The reversal of 18071001000000 is 10017081.

The square root of 18071001000000 is 4251000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 31 ways, for example, as 526832092224 + 17544168907776 = 725832^2 + 4188576^2 .

It is a super-2 number, since 2×18071001000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (18071001000001) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 165788999946 + ... + 165789000054.

Almost surely, 2^{18071001000000} is an apocalyptic number.

18071001000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18071001000000 is the 4251000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18071001000000

18071001000000 is an abundant number, since it is smaller than the sum of its proper divisors (52687405839393).

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

18071001000000 is an frugal number, since it uses more digits than its factorization.

18071001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

Adding to 18071001000000 its reverse (10017081), we get a palindrome (18071011017081).

The spelling of 18071001000000 in words is "eighteen trillion, seventy-one billion, one million", and thus it is an aban number and an uban number.