111795940881 has 45 divisors (see below), whose sum is σ = 169184984331. Its totient is φ = 73569679488.

The previous prime is 111795940871. The next prime is 111795940943. The reversal of 111795940881 is 188049597111.

The square root of 111795940881 is 334359.

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

111795940881 is a `hidden beast` number, since 11 + 179 + 59 + 408 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50200643025 + 61595297856 = 224055^2 + 248184^2 .

It is not a de Polignac number, because 111795940881 - 2¹¹ = 111795938833 is a prime.

It is a super-2 number, since 2×111795940881² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111795940831) 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 44 ways as a sum of consecutive naturals, for example, 291895216 + ... + 291895598.

Almost surely, 2^111795940881 is an apocalyptic number.

111795940881 is the 334359-th square number.

111795940881 is the 167180-th centered octagonal number.

It is an amenable number.

111795940881 is a deficient number, since it is larger than the sum of its proper divisors (57389043450).

111795940881 is an frugal number, since it uses more digits than its factorization.

111795940881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 54.

It can be divided in two parts, 111795 and 940881, that added together give a square (1052676 = 1026²).

The spelling of 111795940881 in words is "one hundred eleven billion, seven hundred ninety-five million, nine hundred forty thousand, eight hundred eighty-one".