1111293364041 has 135 divisors (see below), whose sum is σ = 2003472265509. Its totient is φ = 612064760832.

The previous prime is 1111293364033. The next prime is 1111293364091. The reversal of 1111293364041 is 1404633921111.

It is a happy number.

The square root of 1111293364041 is 1054179.

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

1111293364041 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 2 + 9 + 3 + 3 + 640 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 490343060025 + 620950304016 = 700245^2 + 788004^2 .

It is not a de Polignac number, because 1111293364041 - 2³ = 1111293364033 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1111293363987 and 1111293364005.

It is not an unprimeable number, because it can be changed into a prime (1111293364001) 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, 1925984745 + ... + 1925985321.

Almost surely, 2^{1111293364041} is an apocalyptic number.

1111293364041 is the 1054179-th square number.

1111293364041 is the 527090-th centered octagonal number.

It is an amenable number.

1111293364041 is a deficient number, since it is larger than the sum of its proper divisors (892178901468).

1111293364041 is an frugal number, since it uses more digits than its factorization.

1111293364041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1111293364041 by its sum of digits (36), we get a square (40006561105476 = 6325074²).

The spelling of 1111293364041 in words is "one trillion, one hundred eleven billion, two hundred ninety-three million, three hundred sixty-four thousand, forty-one".