111803965641 has 27 divisors (see below), whose sum is σ = 162540218893. Its totient is φ = 74056489080.

The previous prime is 111803965607. The next prime is 111803965649. The reversal of 111803965641 is 146569308111.

The square root of 111803965641 is 334371.

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

111803965641 is a `hidden beast` number, since 1 + 1 + 1 + 80 + 3 + 9 + 6 + 564 + 1 = 666.

It is not a de Polignac number, because 111803965641 - 2⁷ = 111803965513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111803965649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 227706406 + ... + 227706896.

Almost surely, 2^111803965641 is an apocalyptic number.

111803965641 is the 334371-st square number.

111803965641 is the 167186-th centered octagonal number.

It is an amenable number.

111803965641 is a deficient number, since it is larger than the sum of its proper divisors (50736253252).

111803965641 is an frugal number, since it uses more digits than its factorization.

111803965641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

It can be divided in two parts, 111803 and 965641, that added together give a square (1077444 = 1038²).

The spelling of 111803965641 in words is "one hundred eleven billion, eight hundred three million, nine hundred sixty-five thousand, six hundred forty-one".