4831631711088 has 960 divisors, whose sum is σ = 16873611448320. Its totient is φ = 1161842393088.

The previous prime is 4831631711051. The next prime is 4831631711111. The reversal of 4831631711088 is 8801171361384.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 4831631711088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4945374856 + ... + 4945375832.

It is an arithmetic number, because the mean of its divisors is an integer number (17576678592).

Almost surely, 2^{4831631711088} is an apocalyptic number.

4831631711088 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 4831631711088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436805724160).

4831631711088 is an abundant number, since it is smaller than the sum of its proper divisors (12041979737232).

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

4831631711088 is a wasteful number, since it uses less digits than its factorization.

4831631711088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The spelling of 4831631711088 in words is "four trillion, eight hundred thirty-one billion, six hundred thirty-one million, seven hundred eleven thousand, eighty-eight".