11868642144 has 432 divisors, whose sum is σ = 38321141040. Its totient is φ = 3471206400.

The previous prime is 11868642139. The next prime is 11868642161. The reversal of 11868642144 is 44124686811.

11868642144 is a `hidden beast` number, since 1 + 186 + 8 + 6 + 421 + 44 = 666.

It is a super-3 number, since 3×11868642144³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11868642144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194567874 + ... + 194567934.

It is an arithmetic number, because the mean of its divisors is an integer number (88706345).

Almost surely, 2^11868642144 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 11868642144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19160570520).

11868642144 is an abundant number, since it is smaller than the sum of its proper divisors (26452498896).

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

11868642144 is a wasteful number, since it uses less digits than its factorization.

11868642144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 153 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 11868642144 in words is "eleven billion, eight hundred sixty-eight million, six hundred forty-two thousand, one hundred forty-four".