4966447919328 has 288 divisors, whose sum is σ = 16597890429120. Its totient is φ = 1378910822400.

The previous prime is 4966447919327. The next prime is 4966447919333. The reversal of 4966447919328 is 8239197446694.

It is a happy number.

4966447919328 is a `hidden beast` number, since 4 + 9 + 6 + 6 + 447 + 91 + 93 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4966447919327) 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, 60303778 + ... + 60386078.

It is an arithmetic number, because the mean of its divisors is an integer number (57631563990).

Almost surely, 2^{4966447919328} is an apocalyptic number.

4966447919328 is a gapful number since it is divisible by the number (48) 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 4966447919328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298945214560).

4966447919328 is an abundant number, since it is smaller than the sum of its proper divisors (11631442509792).

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

4966447919328 is a wasteful number, since it uses less digits than its factorization.

4966447919328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83170 (or 83159 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 4966447919328 in words is "four trillion, nine hundred sixty-six billion, four hundred forty-seven million, nine hundred nineteen thousand, three hundred twenty-eight".