11546118144 has 432 divisors, whose sum is σ = 38063450880. Its totient is φ = 3365683200.

The previous prime is 11546118109. The next prime is 11546118161. The reversal of 11546118144 is 44181164511.

11546118144 is a `hidden beast` number, since 1 + 15 + 461 + 181 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11546118099 and 11546118108.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 69138349 + ... + 69138515.

It is an arithmetic number, because the mean of its divisors is an integer number (88109840).

Almost surely, 2^11546118144 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 11546118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19031725440).

11546118144 is an abundant number, since it is smaller than the sum of its proper divisors (26517332736).

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

11546118144 is a wasteful number, since it uses less digits than its factorization.

11546118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The spelling of 11546118144 in words is "eleven billion, five hundred forty-six million, one hundred eighteen thousand, one hundred forty-four".