1019986883136 has 525 divisors, whose sum is σ = 3315454729631. Its totient is φ = 310060887552.

The previous prime is 1019986883063. The next prime is 1019986883231. The reversal of 1019986883136 is 6313886899101.

The square root of 1019986883136 is 1009944.

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

It can be written as a sum of positive squares in 2 ways, for example, as 505725788736 + 514261094400 = 711144^2 + 717120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 12288998551 + ... + 12288998633.

Almost surely, 2^{1019986883136} is an apocalyptic number.

1019986883136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1019986883136 is the 1009944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019986883136

1019986883136 is an abundant number, since it is smaller than the sum of its proper divisors (2295467846495).

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

1019986883136 is an frugal number, since it uses more digits than its factorization.

1019986883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 1019986883136 in words is "one trillion, nineteen billion, nine hundred eighty-six million, eight hundred eighty-three thousand, one hundred thirty-six".