8630506014944 has 384 divisors, whose sum is σ = 19699611402240. Its totient is φ = 3687034982400.

The previous prime is 8630506014931. The next prime is 8630506014961. The reversal of 8630506014944 is 4494106050368.

It is a junction number, because it is equal to n+sod(n) for n = 8630506014892 and 8630506014901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17158063397 + ... + 17158063899.

It is an arithmetic number, because the mean of its divisors is an integer number (51301071360).

Almost surely, 2^{8630506014944} 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 8630506014944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849805701120).

8630506014944 is an abundant number, since it is smaller than the sum of its proper divisors (11069105387296).

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

8630506014944 is a wasteful number, since it uses less digits than its factorization.

8630506014944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 8630506014944 in words is "eight trillion, six hundred thirty billion, five hundred six million, fourteen thousand, nine hundred forty-four".