11616164563024 has 80 divisors (see below), whose sum is σ = 27001254666240. Its totient is φ = 4736107002240.

The previous prime is 11616164563021. The next prime is 11616164563063. The reversal of 11616164563024 is 42036546161611.

It is a super-4 number, since 4×11616164563024⁴ (a number of 53 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11616164563021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28148284 + ... + 28557979.

It is an arithmetic number, because the mean of its divisors is an integer number (337515683328).

Almost surely, 2^{11616164563024} is an apocalyptic number.

11616164563024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11616164563024 is an abundant number, since it is smaller than the sum of its proper divisors (15385090103216).

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

11616164563024 is a wasteful number, since it uses less digits than its factorization.

11616164563024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56706368 (or 56706362 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 11616164563024 in words is "eleven trillion, six hundred sixteen billion, one hundred sixty-four million, five hundred sixty-three thousand, twenty-four".