4647063138816 has 320 divisors, whose sum is σ = 14927223168000. Its totient is φ = 1254987841536.

The previous prime is 4647063138779. The next prime is 4647063138829. The reversal of 4647063138816 is 6188313607464.

It is a super-2 number, since 2×4647063138816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 90473910 + ... + 90525258.

It is an arithmetic number, because the mean of its divisors is an integer number (46647572400).

Almost surely, 2^{4647063138816} 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 4647063138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463611584000).

4647063138816 is an abundant number, since it is smaller than the sum of its proper divisors (10280160029184).

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

4647063138816 is a wasteful number, since it uses less digits than its factorization.

4647063138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51839 (or 51823 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 4647063138816 in words is "four trillion, six hundred forty-seven billion, sixty-three million, one hundred thirty-eight thousand, eight hundred sixteen".