43649842464 has 480 divisors, whose sum is σ = 143221777776. Its totient is φ = 12979077120.

The previous prime is 43649842441. The next prime is 43649842499. The reversal of 43649842464 is 46424894634.

It is a happy number.

43649842464 is a `hidden beast` number, since 43 + 64 + 9 + 84 + 2 + 464 = 666.

43649842464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 19742498064 + 23907344400 = 140508^2 + 154620^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 43649842464.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66844762 + ... + 66845414.

Almost surely, 2^43649842464 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 43649842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71610888888).

43649842464 is an abundant number, since it is smaller than the sum of its proper divisors (99571935312).

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

43649842464 is a wasteful number, since it uses less digits than its factorization.

43649842464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 43649842464 in words is "forty-three billion, six hundred forty-nine million, eight hundred forty-two thousand, four hundred sixty-four".