4014549864 has 320 divisors, whose sum is σ = 12998739600. Its totient is φ = 1150599168.

The previous prime is 4014549841. The next prime is 4014549899. The reversal of 4014549864 is 4689454104.

4014549864 is a `hidden beast` number, since 40 + 1 + 4 + 549 + 8 + 64 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1336487364 + 2678062500 = 36558^2 + 51750^2 .

It is a super-2 number, since 2×4014549864² = 32233221221084836992, 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 79 ways as a sum of consecutive naturals, for example, 41387064 + ... + 41387160.

Almost surely, 2^4014549864 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 4014549864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499369800).

4014549864 is an abundant number, since it is smaller than the sum of its proper divisors (8984189736).

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

4014549864 is a wasteful number, since it uses less digits than its factorization.

4014549864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4014549864 is about 63360.4755663971. The cubic root of 4014549864 is about 1589.3234287738.

It can be divided in two parts, 40145 and 49864, that added together give a palindrome (90009).

The spelling of 4014549864 in words is "four billion, fourteen million, five hundred forty-nine thousand, eight hundred sixty-four".