1018686490000 has 75 divisors (see below), whose sum is σ = 2466586246773. Its totient is φ = 407434224000.

The previous prime is 1018686489979. The next prime is 1018686490043. The reversal of 1018686490000 is 946868101.

The square root of 1018686490000 is 1009300.

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

It can be written as a sum of positive squares in 7 ways, for example, as 774871751824 + 243814738176 = 880268^2 + 493776^2 .

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 100924954 + ... + 100935046.

Almost surely, 2^{1018686490000} is an apocalyptic number.

1018686490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1018686490000 is the 1009300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018686490000

1018686490000 is an abundant number, since it is smaller than the sum of its proper divisors (1447899756773).

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

1018686490000 is an frugal number, since it uses more digits than its factorization.

1018686490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20214 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 1018686490000 in words is "one trillion, eighteen billion, six hundred eighty-six million, four hundred ninety thousand".