4014936648 has 192 divisors, whose sum is σ = 11891992320. Its totient is φ = 1218816000.

The previous prime is 4014936647. The next prime is 4014936671. The reversal of 4014936648 is 8466394104.

4014936648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4014936648² = 32239432574906951808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014936641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5809983 + ... + 5810673.

It is an arithmetic number, because the mean of its divisors is an integer number (61937460).

Almost surely, 2^4014936648 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 4014936648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5945996160).

4014936648 is an abundant number, since it is smaller than the sum of its proper divisors (7877055672).

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

4014936648 is a wasteful number, since it uses less digits than its factorization.

4014936648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4014936648 is about 63363.5277427007. The cubic root of 4014936648 is about 1589.3744685460.

The spelling of 4014936648 in words is "four billion, fourteen million, nine hundred thirty-six thousand, six hundred forty-eight".