4663031144160 has 192 divisors, whose sum is σ = 14931527688000. Its totient is φ = 1223071875072.

The previous prime is 4663031144131. The next prime is 4663031144179. The reversal of 4663031144160 is 614411303664.

It is a super-2 number, since 2×4663031144160² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6842566 + ... + 7493114.

It is an arithmetic number, because the mean of its divisors is an integer number (77768373375).

Almost surely, 2^{4663031144160} is an apocalyptic number.

4663031144160 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 4663031144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465763844000).

4663031144160 is an abundant number, since it is smaller than the sum of its proper divisors (10268496543840).

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

4663031144160 is a wasteful number, since it uses less digits than its factorization.

4663031144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650813 (or 650805 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 4663031144160 in words is "four trillion, six hundred sixty-three billion, thirty-one million, one hundred forty-four thousand, one hundred sixty".