4246686144 has 140 divisors (see below), whose sum is σ = 13136203344. Its totient is φ = 1353977856.

The previous prime is 4246686131. The next prime is 4246686163. The reversal of 4246686144 is 4416866424.

4246686144 is a `hidden beast` number, since 4 + 24 + 6 + 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 4246686144.

It is a congruent number.

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, 101424 + ... + 137040.

Almost surely, 2^4246686144 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 4246686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6568101672).

4246686144 is an abundant number, since it is smaller than the sum of its proper divisors (8889517200).

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

4246686144 is a wasteful number, since it uses less digits than its factorization.

4246686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35664 (or 35645 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4246686144 is about 65166.6029803610. The cubic root of 4246686144 is about 1619.3847869717.

The spelling of 4246686144 in words is "four billion, two hundred forty-six million, six hundred eighty-six thousand, one hundred forty-four".