43985833984 has 117 divisors (see below), whose sum is σ = 91911972763. Its totient is φ = 21046624256.

The previous prime is 43985833963. The next prime is 43985833999. The reversal of 43985833984 is 48933858934.

The square root of 43985833984 is 209728.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15178240000 + 28807593984 = 123200^2 + 169728^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (89579520) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 389255112 + ... + 389255224.

Almost surely, 2^43985833984 is an apocalyptic number.

43985833984 is the 209728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43985833984

43985833984 is an abundant number, since it is smaller than the sum of its proper divisors (47926138779).

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

43985833984 is an frugal number, since it uses more digits than its factorization.

43985833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 144 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 64.

Multiplying 43985833984 by its sum of digits (64), we get a square (2815093374976 = 1677824²).

43985833984 divided by its sum of digits (64) gives a square (687278656 = 26216²).

It can be divided in two parts, 43985 and 833984, that added together give a square (877969 = 937²).

The spelling of 43985833984 in words is "forty-three billion, nine hundred eighty-five million, eight hundred thirty-three thousand, nine hundred eighty-four".