11266729383819 has 384 divisors, whose sum is σ = 20134900531200. Its totient is φ = 5566166242560.

The previous prime is 11266729383809. The next prime is 11266729383839. The reversal of 11266729383819 is 91838392766211.

It is a happy number.

It is not a de Polignac number, because 11266729383819 - 2¹⁵ = 11266729351051 is a prime.

It is a super-2 number, since 2×11266729383819² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11266729383819.

It is not an unprimeable number, because it can be changed into a prime (11266729383809) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88714404534 + ... + 88714404660.

It is an arithmetic number, because the mean of its divisors is an integer number (52434636800).

Almost surely, 2^{11266729383819} is an apocalyptic number.

11266729383819 is a deficient number, since it is larger than the sum of its proper divisors (8868171147381).

11266729383819 is a wasteful number, since it uses less digits than its factorization.

11266729383819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 351 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 66.

The spelling of 11266729383819 in words is "eleven trillion, two hundred sixty-six billion, seven hundred twenty-nine million, three hundred eighty-three thousand, eight hundred nineteen".