1186587561636 has 135 divisors (see below), whose sum is σ = 3148847528211. Its totient is φ = 389640398976.

The previous prime is 1186587561629. The next prime is 1186587561637. The reversal of 1186587561636 is 6361657856811.

It is a happy number.

The square root of 1186587561636 is 1089306.

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

1186587561636 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 5 + 8 + 7 + 5 + 616 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24382822500 + 1162204739136 = 156150^2 + 1078056^2 .

It is not an unprimeable number, because it can be changed into a prime (1186587561637) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1431347670 + ... + 1431348498.

Almost surely, 2^{1186587561636} is an apocalyptic number.

1186587561636 is the 1089306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1186587561636

1186587561636 is an abundant number, since it is smaller than the sum of its proper divisors (1962259966575).

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

1186587561636 is an frugal number, since it uses more digits than its factorization.

1186587561636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 907 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 1186587561636 in words is "one trillion, one hundred eighty-six billion, five hundred eighty-seven million, five hundred sixty-one thousand, six hundred thirty-six".