1018081000000 has 147 divisors (see below), whose sum is σ = 2527791022767. Its totient is φ = 406828800000.

The previous prime is 1018080999989. The next prime is 1018081000003. The reversal of 1018081000000 is 1808101.

The square root of 1018081000000 is 1009000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 670603761216 + 347477238784 = 818904^2 + 589472^2 .

It is a super-2 number, since 2×1018081000000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1018081000003) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1008999496 + ... + 1009000504.

Almost surely, 2^{1018081000000} is an apocalyptic number.

1018081000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1018081000000 is the 1009000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018081000000

1018081000000 is an abundant number, since it is smaller than the sum of its proper divisors (1509710022767).

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

1018081000000 is an frugal number, since it uses more digits than its factorization.

1018081000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Multiplying 1018081000000 by its product of nonzero digits (64), we get a square (65157184000000 = 8072000²).

1018081000000 divided by its product of nonzero digits (64) gives a square (15907515625 = 126125²).

Adding to 1018081000000 its reverse (1808101), we get a palindrome (1018082808101).

The spelling of 1018081000000 in words is "one trillion, eighteen billion, eighty-one million", and thus it is an aban number and an uban number.