11431616544 has 288 divisors, whose sum is σ = 35909153280. Its totient is φ = 3433881600.

The previous prime is 11431616543. The next prime is 11431616557. The reversal of 11431616544 is 44561613411.

11431616544 is a `hidden beast` number, since 1 + 1 + 4 + 31 + 616 + 5 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (34560) is a multiple of the sum of its prime factors (864).

It is a junction number, because it is equal to n+sod(n) for n = 11431616499 and 11431616508.

It is not an unprimeable number, because it can be changed into a prime (11431616543) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16543239 + ... + 16543929.

It is an arithmetic number, because the mean of its divisors is an integer number (124684560).

Almost surely, 2^11431616544 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 11431616544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954576640).

11431616544 is an abundant number, since it is smaller than the sum of its proper divisors (24477536736).

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

11431616544 is a wasteful number, since it uses less digits than its factorization.

11431616544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 853 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 11431616544 in words is "eleven billion, four hundred thirty-one million, six hundred sixteen thousand, five hundred forty-four".