11828345208319 has 16 divisors (see below), whose sum is σ = 12255667200000. Its totient is φ = 11403888264000.

The previous prime is 11828345208311. The next prime is 11828345208373. The reversal of 11828345208319 is 91380254382811.

It is a cyclic number.

It is not a de Polignac number, because 11828345208319 - 2³ = 11828345208311 is a prime.

It is a super-2 number, since 2×11828345208319² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11828345208319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11828345208311) 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, 210257307 + ... + 210313555.

It is an arithmetic number, because the mean of its divisors is an integer number (765979200000).

Almost surely, 2^{11828345208319} is an apocalyptic number.

11828345208319 is a deficient number, since it is larger than the sum of its proper divisors (427321991681).

11828345208319 is a wasteful number, since it uses less digits than its factorization.

11828345208319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81582.

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 11828345208319 in words is "eleven trillion, eight hundred twenty-eight billion, three hundred forty-five million, two hundred eight thousand, three hundred nineteen".