4253952816 has 100 divisors (see below), whose sum is σ = 12468324000. Its totient is φ = 1400001408.

The previous prime is 4253952799. The next prime is 4253952889. The reversal of 4253952816 is 6182593524.

It is a super-2 number, since 2×4253952816² = 36192229121508659712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81610 + ... + 123158.

It is an arithmetic number, because the mean of its divisors is an integer number (124683240).

Almost surely, 2^4253952816 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 4253952816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234162000).

4253952816 is an abundant number, since it is smaller than the sum of its proper divisors (8214371184).

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

4253952816 is a wasteful number, since it uses less digits than its factorization.

4253952816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41648 (or 41633 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 4253952816 is about 65222.3337208966. Note that the first 3 decimals coincide. The cubic root of 4253952816 is about 1620.3079250059.

The spelling of 4253952816 in words is "four billion, two hundred fifty-three million, nine hundred fifty-two thousand, eight hundred sixteen".