4951663114944 has 672 divisors, whose sum is σ = 16877001308160. Its totient is φ = 1247474442240.

The previous prime is 4951663114921. The next prime is 4951663114961. The reversal of 4951663114944 is 4494113661594.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×4951663114944² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1326454902 + ... + 1326458634.

It is an arithmetic number, because the mean of its divisors is an integer number (25114585280).

Almost surely, 2^{4951663114944} 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 4951663114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438500654080).

4951663114944 is an abundant number, since it is smaller than the sum of its proper divisors (11925338193216).

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

4951663114944 is a wasteful number, since it uses less digits than its factorization.

4951663114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3868 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 57.

The spelling of 4951663114944 in words is "four trillion, nine hundred fifty-one billion, six hundred sixty-three million, one hundred fourteen thousand, nine hundred forty-four".