4972983243648 has 384 divisors, whose sum is σ = 16183803888000. Its totient is φ = 1345328345088.

The previous prime is 4972983243611. The next prime is 4972983243659. The reversal of 4972983243648 is 8463423892794.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1050701890 + ... + 1050706622.

It is an arithmetic number, because the mean of its divisors is an integer number (42145322625).

Almost surely, 2^{4972983243648} is an apocalyptic number.

4972983243648 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 4972983243648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8091901944000).

4972983243648 is an abundant number, since it is smaller than the sum of its proper divisors (11210820644352).

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

4972983243648 is a wasteful number, since it uses less digits than its factorization.

4972983243648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722 (or 7703 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 69.

The spelling of 4972983243648 in words is "four trillion, nine hundred seventy-two billion, nine hundred eighty-three million, two hundred forty-three thousand, six hundred forty-eight".