631116444 has 192 divisors, whose sum is σ = 1828915200. Its totient is φ = 165580800.

The previous prime is 631116427. The next prime is 631116487. The reversal of 631116444 is 444611136.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7091152 + ... + 7091240.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^631116444 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 631116444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

631116444 is an abundant number, since it is smaller than the sum of its proper divisors (1197798756).

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

631116444 is a wasteful number, since it uses less digits than its factorization.

631116444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 242 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 631116444 is about 25122.0310484642. The cubic root of 631116444 is about 857.7679835154.

The spelling of 631116444 in words is "six hundred thirty-one million, one hundred sixteen thousand, four hundred forty-four".