4556284080048 has 320 divisors, whose sum is σ = 13593998499840. Its totient is φ = 1459575936000.

The previous prime is 4556284079993. The next prime is 4556284080059. The reversal of 4556284080048 is 8400804826554.

4556284080048 is a `hidden beast` number, since 4 + 5 + 5 + 628 + 4 + 0 + 8 + 0 + 0 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4556284079976 and 4556284080003.

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, 1786076373 + ... + 1786078923.

It is an arithmetic number, because the mean of its divisors is an integer number (42481245312).

Almost surely, 2^{4556284080048} is an apocalyptic number.

4556284080048 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 4556284080048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6796999249920).

4556284080048 is an abundant number, since it is smaller than the sum of its proper divisors (9037714419792).

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

4556284080048 is a wasteful number, since it uses less digits than its factorization.

4556284080048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 4556284080048 in words is "four trillion, five hundred fifty-six billion, two hundred eighty-four million, eighty thousand, forty-eight".