4947216384 has 192 divisors, whose sum is σ = 14605194240. Its totient is φ = 1476608000.

The previous prime is 4947216383. The next prime is 4947216397. The reversal of 4947216384 is 4836127494.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4947216384³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4947216383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4797949 + ... + 4798979.

It is an arithmetic number, because the mean of its divisors is an integer number (76068720).

Almost surely, 2^4947216384 is an apocalyptic number.

4947216384 is a gapful number since it is divisible by the number (44) 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 4947216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302597120).

4947216384 is an abundant number, since it is smaller than the sum of its proper divisors (9657977856).

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

4947216384 is a wasteful number, since it uses less digits than its factorization.

4947216384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1118 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 4947216384 is about 70336.4513179333. The cubic root of 4947216384 is about 1703.9373998912.

It can be divided in two parts, 494721 and 6384, that added together give a palindrome (501105).

The spelling of 4947216384 in words is "four billion, nine hundred forty-seven million, two hundred sixteen thousand, three hundred eighty-four".