4646718329344 has 320 divisors, whose sum is σ = 11537711539200. Its totient is φ = 1820515368960.

The previous prime is 4646718329333. The next prime is 4646718329347. The reversal of 4646718329344 is 4439238176464.

It is a super-2 number, since 2×4646718329344² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4646718329347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2992090872 + ... + 2992092424.

It is an arithmetic number, because the mean of its divisors is an integer number (36055348560).

Almost surely, 2^{4646718329344} 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 4646718329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768855769600).

4646718329344 is an abundant number, since it is smaller than the sum of its proper divisors (6890993209856).

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

4646718329344 is a wasteful number, since it uses less digits than its factorization.

4646718329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2155 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 61.

The spelling of 4646718329344 in words is "four trillion, six hundred forty-six billion, seven hundred eighteen million, three hundred twenty-nine thousand, three hundred forty-four".