11516045634305 has 32 divisors (see below), whose sum is σ = 14198343955488. Its totient is φ = 8964179712000.

The previous prime is 11516045634287. The next prime is 11516045634307. The reversal of 11516045634305 is 50343654061511.

It can be written as a sum of positive squares in 16 ways, for example, as 1277223200449 + 10238822433856 = 1130143^2 + 3199816^2 .

It is not a de Polignac number, because 11516045634305 - 2³⁶ = 11447326157569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11516045634307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9647735 + ... + 10775475.

It is an arithmetic number, because the mean of its divisors is an integer number (443698248609).

Almost surely, 2^{11516045634305} is an apocalyptic number.

It is an amenable number.

11516045634305 is a deficient number, since it is larger than the sum of its proper divisors (2682298321183).

11516045634305 is a wasteful number, since it uses less digits than its factorization.

11516045634305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128197.

The product of its (nonzero) digits is 648000, while the sum is 44.

Adding to 11516045634305 its reverse (50343654061511), we get a palindrome (61859699695816).

The spelling of 11516045634305 in words is "eleven trillion, five hundred sixteen billion, forty-five million, six hundred thirty-four thousand, three hundred five".