4813005090816 has 1248 divisors, whose sum is σ = 16349246484480. Its totient is φ = 1412967628800.

The previous prime is 4813005090797. The next prime is 4813005090833. The reversal of 4813005090816 is 6180905003184.

4813005090816 is a `hidden beast` number, since 4 + 8 + 130 + 0 + 509 + 0 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67788804061 + ... + 67788804131.

It is an arithmetic number, because the mean of its divisors is an integer number (13100357760).

Almost surely, 2^{4813005090816} 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 4813005090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174623242240).

4813005090816 is an abundant number, since it is smaller than the sum of its proper divisors (11536241393664).

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

4813005090816 is an frugal number, since it uses more digits than its factorization.

4813005090816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 4813005090816 in words is "four trillion, eight hundred thirteen billion, five million, ninety thousand, eight hundred sixteen".