11546346315249 has 6 divisors (see below), whose sum is σ = 16678055788706. Its totient is φ = 7697564210160.

The previous prime is 11546346315239. The next prime is 11546346315263. The reversal of 11546346315249 is 94251364364511.

11546346315249 is a `hidden beast` number, since 1 + 1 + 5 + 46 + 3 + 46 + 31 + 524 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11102010753024 + 444335562225 = 3331968^2 + 666585^2 .

It is not a de Polignac number, because 11546346315249 - 2¹² = 11546346311153 is a prime.

It is a super-2 number, since 2×11546346315249² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11546346315195 and 11546346315204.

It is not an unprimeable number, because it can be changed into a prime (11546346315239) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 641463684172 + ... + 641463684189.

Almost surely, 2^{11546346315249} is an apocalyptic number.

It is an amenable number.

11546346315249 is a deficient number, since it is larger than the sum of its proper divisors (5131709473457).

11546346315249 is a wasteful number, since it uses less digits than its factorization.

11546346315249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282927368367 (or 1282927368364 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 11546346315249 in words is "eleven trillion, five hundred forty-six billion, three hundred forty-six million, three hundred fifteen thousand, two hundred forty-nine".