111262054974889 has 135 divisors (see below), whose sum is σ = 145819572371109. Its totient is φ = 84847091958720.

The previous prime is 111262054974871. The next prime is 111262054974911. The reversal of 111262054974889 is 988479450262111.

The square root of 111262054974889 is 10548083.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14266975437225 + 96995079537664 = 3777165^2 + 9848608^2 .

It is not a de Polignac number, because 111262054974889 - 2¹³ = 111262054966697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (111262052974889) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 194854736974 + ... + 194854737544.

Almost surely, 2^{111262054974889} is an apocalyptic number.

111262054974889 is the 10548083-rd square number.

111262054974889 is the 5274042-nd centered octagonal number.

It is an amenable number.

111262054974889 is a deficient number, since it is larger than the sum of its proper divisors (34557517396220).

111262054974889 is an frugal number, since it uses more digits than its factorization.

111262054974889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 111262054974889 in words is "one hundred eleven trillion, two hundred sixty-two billion, fifty-four million, nine hundred seventy-four thousand, eight hundred eighty-nine".