4966046945280 has 416 divisors, whose sum is σ = 17701052428800. Its totient is φ = 1320817655808.

The previous prime is 4966046945263. The next prime is 4966046945303. The reversal of 4966046945280 is 825496406694.

4966046945280 is a `hidden beast` number, since 4 + 9 + 6 + 60 + 46 + 9 + 4 + 528 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 215089897 + ... + 215112983.

It is an arithmetic number, because the mean of its divisors is an integer number (42550606800).

Almost surely, 2^{4966046945280} is an apocalyptic number.

4966046945280 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 4966046945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8850526214400).

4966046945280 is an abundant number, since it is smaller than the sum of its proper divisors (12735005483520).

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

4966046945280 is a wasteful number, since it uses less digits than its factorization.

4966046945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23514 (or 23486 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 4966046945280 in words is "four trillion, nine hundred sixty-six billion, forty-six million, nine hundred forty-five thousand, two hundred eighty".