4456857216 has 128 divisors (see below), whose sum is σ = 13564661760. Its totient is φ = 1270103040.

The previous prime is 4456857193. The next prime is 4456857253. The reversal of 4456857216 is 6127586544.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4456857216² = 39727152487622541312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1156605 + ... + 1160451.

It is an arithmetic number, because the mean of its divisors is an integer number (105973920).

Almost surely, 2^4456857216 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 4456857216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782330880).

4456857216 is an abundant number, since it is smaller than the sum of its proper divisors (9107804544).

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

4456857216 is a wasteful number, since it uses less digits than its factorization.

4456857216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4290 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 4456857216 is about 66759.6975427540. The cubic root of 4456857216 is about 1645.6705864995.

The spelling of 4456857216 in words is "four billion, four hundred fifty-six million, eight hundred fifty-seven thousand, two hundred sixteen".