11516685041148 has 96 divisors (see below), whose sum is σ = 32557309682688. Its totient is φ = 3093151257600.

The previous prime is 11516685041143. The next prime is 11516685041149. The reversal of 11516685041148 is 84114058661511.

It is a super-2 number, since 2×11516685041148² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 11516685041148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11516685041143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3739248 + ... + 6084023.

It is an arithmetic number, because the mean of its divisors is an integer number (339138642528).

Almost surely, 2^{11516685041148} is an apocalyptic number.

It is an amenable number.

11516685041148 is an abundant number, since it is smaller than the sum of its proper divisors (21040624641540).

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

11516685041148 is a wasteful number, since it uses less digits than its factorization.

11516685041148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824123 (or 9824121 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 51.

The spelling of 11516685041148 in words is "eleven trillion, five hundred sixteen billion, six hundred eighty-five million, forty-one thousand, one hundred forty-eight".