11306995377409 has 16 divisors (see below), whose sum is σ = 11528962094160. Its totient is φ = 11087411512320.

The previous prime is 11306995377389. The next prime is 11306995377413. The reversal of 11306995377409 is 90477359960311.

It can be written as a sum of positive squares in 8 ways, for example, as 59711809600 + 11247283567809 = 244360^2 + 3353697^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11306995377409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11306995371409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6503347 + ... + 8056519.

It is an arithmetic number, because the mean of its divisors is an integer number (720560130885).

Almost surely, 2^{11306995377409} is an apocalyptic number.

It is an amenable number.

11306995377409 is a deficient number, since it is larger than the sum of its proper divisors (221966716751).

11306995377409 is a wasteful number, since it uses less digits than its factorization.

11306995377409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553940.

The product of its (nonzero) digits is 38578680, while the sum is 64.

The spelling of 11306995377409 in words is "eleven trillion, three hundred six billion, nine hundred ninety-five million, three hundred seventy-seven thousand, four hundred nine".