11816711424 has 648 divisors, whose sum is σ = 43184389248. Its totient is φ = 3086254080.

The previous prime is 11816711419. The next prime is 11816711429. The reversal of 11816711424 is 42411761811.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11816711419) and next prime (11816711429).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11816711429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90203839 + ... + 90203969.

It is an arithmetic number, because the mean of its divisors is an integer number (66642576).

Almost surely, 2^11816711424 is an apocalyptic number.

11816711424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11816711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21592194624).

11816711424 is an abundant number, since it is smaller than the sum of its proper divisors (31367677824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11816711424 is a wasteful number, since it uses less digits than its factorization.

11816711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The spelling of 11816711424 in words is "eleven billion, eight hundred sixteen million, seven hundred eleven thousand, four hundred twenty-four".