1809676038564 has 81 divisors (see below), whose sum is σ = 4610463727233. Its totient is φ = 598514308704.

The previous prime is 1809676038473. The next prime is 1809676038571. The reversal of 1809676038564 is 4658306769081.

The square root of 1809676038564 is 1345242.

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

1809676038564 is a `hidden beast` number, since 1 + 8 + 0 + 9 + 6 + 7 + 60 + 3 + 8 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1130713222500 + 678962816064 = 1063350^2 + 823992^2 .

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 26 ways as a sum of consecutive naturals, for example, 1121931022 + ... + 1121932634.

Almost surely, 2^{1809676038564} is an apocalyptic number.

1809676038564 is the 1345242-nd square number.

It is an amenable number.

1809676038564 is an abundant number, since it is smaller than the sum of its proper divisors (2800787688669).

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

1809676038564 is an equidigital number, since it uses as much as digits as its factorization.

1809676038564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 1809676038564 in words is "one trillion, eight hundred nine billion, six hundred seventy-six million, thirty-eight thousand, five hundred sixty-four".