4584952144920 has 256 divisors, whose sum is σ = 15834668129280. Its totient is φ = 1040354150400.

The previous prime is 4584952144897. The next prime is 4584952144951. The reversal of 4584952144920 is 294412594854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86788434 + ... + 86841246.

It is an arithmetic number, because the mean of its divisors is an integer number (61854172380).

Almost surely, 2^{4584952144920} is an apocalyptic number.

4584952144920 is a gapful number since it is divisible by the number (40) 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 4584952144920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7917334064640).

4584952144920 is an abundant number, since it is smaller than the sum of its proper divisors (11249715984360).

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

4584952144920 is a wasteful number, since it uses less digits than its factorization.

4584952144920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53586 (or 53582 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 4584952144920 in words is "four trillion, five hundred eighty-four billion, nine hundred fifty-two million, one hundred forty-four thousand, nine hundred twenty".