49830584448 has 128 divisors (see below), whose sum is σ = 136793456640. Its totient is φ = 16055424000.

The previous prime is 49830584431. The next prime is 49830584459. The reversal of 49830584448 is 84448503894.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12937723 + ... + 12941573.

It is an arithmetic number, because the mean of its divisors is an integer number (1068698880).

Almost surely, 2^49830584448 is an apocalyptic number.

49830584448 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 49830584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68396728320).

49830584448 is an abundant number, since it is smaller than the sum of its proper divisors (86962872192).

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

49830584448 is a wasteful number, since it uses less digits than its factorization.

49830584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 49830584448 in words is "forty-nine billion, eight hundred thirty million, five hundred eighty-four thousand, four hundred forty-eight".