11853664416 has 144 divisors (see below), whose sum is σ = 38135549088. Its totient is φ = 3591993600.

The previous prime is 11853664411. The next prime is 11853664451. The reversal of 11853664416 is 61446635811.

11853664416 is a `hidden beast` number, since 1 + 18 + 536 + 64 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (11853664411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16246 + ... + 154826.

It is an arithmetic number, because the mean of its divisors is an integer number (264830202).

Almost surely, 2^11853664416 is an apocalyptic number.

11853664416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11853664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19067774544).

11853664416 is an abundant number, since it is smaller than the sum of its proper divisors (26281884672).

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

11853664416 is a wasteful number, since it uses less digits than its factorization.

11853664416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138617 (or 138597 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 11853664416 in words is "eleven billion, eight hundred fifty-three million, six hundred sixty-four thousand, four hundred sixteen".