1181084565661 has 48 divisors (see below), whose sum is σ = 1595521895040. Its totient is φ = 848989589760.

The previous prime is 1181084565641. The next prime is 1181084565763. The reversal of 1181084565661 is 1665654801811.

It is not a de Polignac number, because 1181084565661 - 2⁷ = 1181084565533 is a prime.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1181084565599 and 1181084565608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1181084565641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20961835 + ... + 21018103.

It is an arithmetic number, because the mean of its divisors is an integer number (33240039480).

Almost surely, 2^{1181084565661} is an apocalyptic number.

1181084565661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1181084565661 is a deficient number, since it is larger than the sum of its proper divisors (414437329379).

1181084565661 is a wasteful number, since it uses less digits than its factorization.

1181084565661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57926 (or 57913 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 52.

The spelling of 1181084565661 in words is "one trillion, one hundred eighty-one billion, eighty-four million, five hundred sixty-five thousand, six hundred sixty-one".