4946916000 has 384 divisors, whose sum is σ = 18382291200. Its totient is φ = 1152921600.

The previous prime is 4946915971. The next prime is 4946916001. The reversal of 4946916000 is 6196494.

It is a super-2 number, since 2×4946916000² = 48943955822112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4946916000.

It is not an unprimeable number, because it can be changed into a prime (4946916001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2963166 + ... + 2964834.

It is an arithmetic number, because the mean of its divisors is an integer number (47870550).

Almost surely, 2^4946916000 is an apocalyptic number.

4946916000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4946916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191145600).

4946916000 is an abundant number, since it is smaller than the sum of its proper divisors (13435375200).

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

4946916000 is a wasteful number, since it uses less digits than its factorization.

4946916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 4946916000 is about 70334.3159489022. The cubic root of 4946916000 is about 1703.9029127607.

The spelling of 4946916000 in words is "four billion, nine hundred forty-six million, nine hundred sixteen thousand".