4959311616 has 144 divisors (see below), whose sum is σ = 16760800000. Its totient is φ = 1416932352.

The previous prime is 4959311563. The next prime is 4959311641. The reversal of 4959311616 is 6161139594.

4959311616 is a `hidden beast` number, since 49 + 593 + 1 + 1 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2866 + ... + 99633.

Almost surely, 2^4959311616 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 4959311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380400000).

4959311616 is an abundant number, since it is smaller than the sum of its proper divisors (11801488384).

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

4959311616 is a wasteful number, since it uses less digits than its factorization.

4959311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102531 (or 102511 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 4959311616 is about 70422.3800790629. The cubic root of 4959311616 is about 1705.3248969922.

The spelling of 4959311616 in words is "four billion, nine hundred fifty-nine million, three hundred eleven thousand, six hundred sixteen".