11164713464688 has 640 divisors, whose sum is σ = 37394818007040. Its totient is φ = 2795821056000.

The previous prime is 11164713464587. The next prime is 11164713464689. The reversal of 11164713464688 is 88646431746111.

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 (11164713464689) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1597008873 + ... + 1597015863.

It is an arithmetic number, because the mean of its divisors is an integer number (58429403136).

Almost surely, 2^{11164713464688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11164713464688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697409003520).

11164713464688 is an abundant number, since it is smaller than the sum of its proper divisors (26230104542352).

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

11164713464688 is a wasteful number, since it uses less digits than its factorization.

11164713464688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397 (or 7391 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The spelling of 11164713464688 in words is "eleven trillion, one hundred sixty-four billion, seven hundred thirteen million, four hundred sixty-four thousand, six hundred eighty-eight".