43808164416 has 567 divisors, whose sum is σ = 146186175369. Its totient is φ = 13020383232.

The previous prime is 43808164363. The next prime is 43808164441. The reversal of 43808164416 is 61446180834.

The square root of 43808164416 is 209304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 34106702400 + 9701462016 = 184680^2 + 98496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2305692855 + ... + 2305692873.

Almost surely, 2^43808164416 is an apocalyptic number.

43808164416 is the 209304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43808164416

43808164416 is an abundant number, since it is smaller than the sum of its proper divisors (102378010953).

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

43808164416 is an frugal number, since it uses more digits than its factorization.

43808164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 43808164416 in words is "forty-three billion, eight hundred eight million, one hundred sixty-four thousand, four hundred sixteen".