4617989870208 has 1024 divisors, whose sum is σ = 15887292825600. Its totient is φ = 1167022080000.

The previous prime is 4617989870173. The next prime is 4617989870237. The reversal of 4617989870208 is 8020789897164.

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 127 ways as a sum of consecutive naturals, for example, 2296363923 + ... + 2296365933.

It is an arithmetic number, because the mean of its divisors is an integer number (15514934400).

Almost surely, 2^{4617989870208} is an apocalyptic number.

4617989870208 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 4617989870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943646412800).

4617989870208 is an abundant number, since it is smaller than the sum of its proper divisors (11269302955392).

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

4617989870208 is a wasteful number, since it uses less digits than its factorization.

4617989870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 69.

The spelling of 4617989870208 in words is "four trillion, six hundred seventeen billion, nine hundred eighty-nine million, eight hundred seventy thousand, two hundred eight".