11511105345 has 64 divisors (see below), whose sum is σ = 21242926080. Its totient is φ = 5909932800.

The previous prime is 11511105341. The next prime is 11511105371. The reversal of 11511105345 is 54350111511.

11511105345 = 9653² + 9654² + ... + 9774².

11511105345 is a `hidden beast` number, since 1 + 1 + 511 + 105 + 3 + 45 = 666.

It is not a de Polignac number, because 11511105345 - 2² = 11511105341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11511105341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372175 + ... + 401915.

It is an arithmetic number, because the mean of its divisors is an integer number (331920720).

Almost surely, 2^11511105345 is an apocalyptic number.

11511105345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11511105345 is a deficient number, since it is larger than the sum of its proper divisors (9731820735).

11511105345 is a wasteful number, since it uses less digits than its factorization.

11511105345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29863 (or 29857 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 27.

Adding to 11511105345 its reverse (54350111511), we get a palindrome (65861216856).

The spelling of 11511105345 in words is "eleven billion, five hundred eleven million, one hundred five thousand, three hundred forty-five".