4456273536 has 512 divisors, whose sum is σ = 15792537600. Its totient is φ = 1219276800.

The previous prime is 4456273519. The next prime is 4456273541. The reversal of 4456273536 is 6353726544.

4456273536 is a `hidden beast` number, since 4 + 45 + 6 + 2 + 73 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4456273491 and 4456273500.

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 63 ways as a sum of consecutive naturals, for example, 35088705 + ... + 35088831.

It is an arithmetic number, because the mean of its divisors is an integer number (30844800).

Almost surely, 2^4456273536 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 4456273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896268800).

4456273536 is an abundant number, since it is smaller than the sum of its proper divisors (11336264064).

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

4456273536 is a wasteful number, since it uses less digits than its factorization.

4456273536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 227 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The square root of 4456273536 is about 66755.3258998861. The cubic root of 4456273536 is about 1645.5987431282.

The spelling of 4456273536 in words is "four billion, four hundred fifty-six million, two hundred seventy-three thousand, five hundred thirty-six".