43515664416 has 432 divisors, whose sum is σ = 148863123864. Its totient is φ = 12016263168.

The previous prime is 43515664397. The next prime is 43515664417. The reversal of 43515664416 is 61446651534.

43515664416 is a `hidden beast` number, since 4 + 35 + 1 + 566 + 44 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40812080400 + 2703584016 = 202020^2 + 51996^2 .

It is a super-2 number, since 2×43515664416² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43515664417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54598930 + ... + 54599726.

Almost surely, 2^43515664416 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 43515664416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74431561932).

43515664416 is an abundant number, since it is smaller than the sum of its proper divisors (105347459448).

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

43515664416 is a wasteful number, since it uses less digits than its factorization.

43515664416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 935 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 43515664416 in words is "forty-three billion, five hundred fifteen million, six hundred sixty-four thousand, four hundred sixteen".