4916249856 has 576 divisors, whose sum is σ = 18131097600. Its totient is φ = 1281982464.

The previous prime is 4916249809. The next prime is 4916249861. The reversal of 4916249856 is 6589426194.

4916249856 is a `hidden beast` number, since 4 + 9 + 1 + 624 + 9 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35368635 + ... + 35368773.

It is an arithmetic number, because the mean of its divisors is an integer number (31477600).

Almost surely, 2^4916249856 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 4916249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9065548800).

4916249856 is an abundant number, since it is smaller than the sum of its proper divisors (13214847744).

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

4916249856 is a wasteful number, since it uses less digits than its factorization.

4916249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 4916249856 is about 70115.9743282513. The cubic root of 4916249856 is about 1700.3747565964.

The spelling of 4916249856 in words is "four billion, nine hundred sixteen million, two hundred forty-nine thousand, eight hundred fifty-six".