11487463416 has 576 divisors, whose sum is σ = 40077797760. Its totient is φ = 3037305600.

The previous prime is 11487463349. The next prime is 11487463417. The reversal of 11487463416 is 61436478411.

11487463416 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 7 + 4 + 634 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11487463417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 267150291 + ... + 267150333.

It is an arithmetic number, because the mean of its divisors is an integer number (69579510).

Almost surely, 2^11487463416 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 11487463416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20038898880).

11487463416 is an abundant number, since it is smaller than the sum of its proper divisors (28590334344).

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

11487463416 is a wasteful number, since it uses less digits than its factorization.

11487463416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 103 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 11487463416 in words is "eleven billion, four hundred eighty-seven million, four hundred sixty-three thousand, four hundred sixteen".