1163343916224 has 1512 divisors, whose sum is σ = 4507943628240. Its totient is φ = 292301291520.

The previous prime is 1163343916181. The next prime is 1163343916237. The reversal of 1163343916224 is 4226193433611.

1163343916224 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 34 + 391 + 6 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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 1163343916224.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 37527223089 + ... + 37527223119.

Almost surely, 2^{1163343916224} is an apocalyptic number.

1163343916224 is a gapful number since it is divisible by the number (14) 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 1163343916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253971814120).

1163343916224 is an abundant number, since it is smaller than the sum of its proper divisors (3344599712016).

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

1163343916224 is a wasteful number, since it uses less digits than its factorization.

1163343916224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 89 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 1163343916224 in words is "one trillion, one hundred sixty-three billion, three hundred forty-three million, nine hundred sixteen thousand, two hundred twenty-four".