43685480448 has 432 divisors, whose sum is σ = 137282418000. Its totient is φ = 13376028672.

The previous prime is 43685480359. The next prime is 43685480459. The reversal of 43685480448 is 84408458634.

It is a happy number.

43685480448 is a `hidden beast` number, since 43 + 6 + 85 + 4 + 80 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 43685480394 and 43685480403.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 314283963 + ... + 314284101.

It is an arithmetic number, because the mean of its divisors is an integer number (317783375).

Almost surely, 2^43685480448 is an apocalyptic number.

43685480448 is a gapful number since it is divisible by the number (48) 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 43685480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68641209000).

43685480448 is an abundant number, since it is smaller than the sum of its proper divisors (93596937552).

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

43685480448 is a wasteful number, since it uses less digits than its factorization.

43685480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 43685480448 in words is "forty-three billion, six hundred eighty-five million, four hundred eighty thousand, four hundred forty-eight".