111871046301921 has 9 divisors (see below), whose sum is σ = 161591557158291. Its totient is φ = 74580676380792.

The previous prime is 111871046301899. The next prime is 111871046302013. The reversal of 111871046301921 is 129103640178111.

The square root of 111871046301921 is 10576911.

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

111871046301921 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 7 + 1 + 0 + 4 + 630 + 1 + 9 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106395614780625 + 5475431521296 = 10314825^2 + 2339964^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-111871046301921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111871046300921) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29967915 + ... + 33493551.

Almost surely, 2^{111871046301921} is an apocalyptic number.

111871046301921 is the 10576911-st square number.

111871046301921 is the 5288456-th centered octagonal number.

It is an amenable number.

111871046301921 is a deficient number, since it is larger than the sum of its proper divisors (49720510856370).

111871046301921 is an frugal number, since it uses more digits than its factorization.

111871046301921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7051280 (or 3525640 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 111871046301921 in words is "one hundred eleven trillion, eight hundred seventy-one billion, forty-six million, three hundred one thousand, nine hundred twenty-one".