111187134009961 has 9 divisors (see below), whose sum is σ = 111604852777431. Its totient is φ = 110770973004984.

The previous prime is 111187134009947. The next prime is 111187134010009. The reversal of 111187134009961 is 169900431781111.

The square root of 111187134009961 is 10544531.

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

It can be written as a sum of positive squares in only one way, i.e., 7315569782361 + 103871564227600 = 2704731^2 + 10191740^2 .

It is not a de Polignac number, because 111187134009961 - 2¹⁷ = 111187133878889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111187134009899 and 111187134009908.

It is not an unprimeable number, because it can be changed into a prime (111187194009961) 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, 2836459240 + ... + 2836498438.

Almost surely, 2^{111187134009961} is an apocalyptic number.

111187134009961 is the 10544531-st square number.

111187134009961 is the 5272266-th centered octagonal number.

It is an amenable number.

111187134009961 is a deficient number, since it is larger than the sum of its proper divisors (417718767470).

111187134009961 is an frugal number, since it uses more digits than its factorization.

111187134009961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78936 (or 39468 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 52.

The spelling of 111187134009961 in words is "one hundred eleven trillion, one hundred eighty-seven billion, one hundred thirty-four million, nine thousand, nine hundred sixty-one".