4273686144 has 512 divisors, whose sum is σ = 15792537600. Its totient is φ = 1107800064.

The previous prime is 4273686119. The next prime is 4273686149. The reversal of 4273686144 is 4416863724.

4273686144 is a `hidden beast` number, since 4 + 27 + 3 + 6 + 8 + 614 + 4 = 666.

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 4273686144.

It is not an unprimeable number, because it can be changed into a prime (4273686149) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33651009 + ... + 33651135.

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

Almost surely, 2^4273686144 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 4273686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7896268800).

4273686144 is an abundant number, since it is smaller than the sum of its proper divisors (11518851456).

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

4273686144 is a wasteful number, since it uses less digits than its factorization.

4273686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4273686144 is about 65373.4360730718. The cubic root of 4273686144 is about 1622.8095006371.

The spelling of 4273686144 in words is "four billion, two hundred seventy-three million, six hundred eighty-six thousand, one hundred forty-four".