4395365856 has 180 divisors, whose sum is σ = 15037556688. Its totient is φ = 1255782528.

The previous prime is 4395365851. The next prime is 4395365857. The reversal of 4395365856 is 6585635934.

It is a happy number.

4395365856 is a `hidden beast` number, since 4 + 3 + 9 + 53 + 6 + 585 + 6 = 666.

It is a super-2 number, since 2×4395365856² = 38638482016181225472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4395365851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 109705 + ... + 144311.

Almost surely, 2^4395365856 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 4395365856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7518778344).

4395365856 is an abundant number, since it is smaller than the sum of its proper divisors (10642190832).

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

4395365856 is a wasteful number, since it uses less digits than its factorization.

4395365856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34643 (or 34619 counting only the distinct ones).

The product of its digits is 11664000, while the sum is 54.

The square root of 4395365856 is about 66297.5554300458. Note that the first 3 decimals coincide. The cubic root of 4395365856 is about 1638.0670583986.

The spelling of 4395365856 in words is "four billion, three hundred ninety-five million, three hundred sixty-five thousand, eight hundred fifty-six".