4906448633856 has 1440 divisors, whose sum is σ = 17992008437760. Its totient is φ = 1151926272000.

The previous prime is 4906448633831. The next prime is 4906448633861. The reversal of 4906448633856 is 6583368446094.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69104910301 + ... + 69104910371.

It is an arithmetic number, because the mean of its divisors is an integer number (12494450304).

Almost surely, 2^{4906448633856} 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 4906448633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996004218880).

4906448633856 is an abundant number, since it is smaller than the sum of its proper divisors (13085559803904).

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

4906448633856 is a wasteful number, since it uses less digits than its factorization.

4906448633856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 66.

The spelling of 4906448633856 in words is "four trillion, nine hundred six billion, four hundred forty-eight million, six hundred thirty-three thousand, eight hundred fifty-six".