4584992262144 has 288 divisors, whose sum is σ = 14399427369600. Its totient is φ = 1293408829440.

The previous prime is 4584992262143. The next prime is 4584992262173. The reversal of 4584992262144 is 4412622994854.

It is not an unprimeable number, because it can be changed into a prime (4584992262143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23687034 + ... + 23879814.

It is an arithmetic number, because the mean of its divisors is an integer number (49998011700).

Almost surely, 2^{4584992262144} 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 4584992262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199713684800).

4584992262144 is an abundant number, since it is smaller than the sum of its proper divisors (9814435107456).

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

4584992262144 is a wasteful number, since it uses less digits than its factorization.

4584992262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192899 (or 192872 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 60.

The spelling of 4584992262144 in words is "four trillion, five hundred eighty-four billion, nine hundred ninety-two million, two hundred sixty-two thousand, one hundred forty-four".