49582386048 has 512 divisors, whose sum is σ = 158715002880. Its totient is φ = 13565952000.

The previous prime is 49582386037. The next prime is 49582386053. The reversal of 49582386048 is 84068328594.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123646648 + ... + 123647048.

It is an arithmetic number, because the mean of its divisors is an integer number (309990240).

Almost surely, 2^49582386048 is an apocalyptic number.

49582386048 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 49582386048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79357501440).

49582386048 is an abundant number, since it is smaller than the sum of its proper divisors (109132616832).

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

49582386048 is a wasteful number, since it uses less digits than its factorization.

49582386048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 49582386048 in words is "forty-nine billion, five hundred eighty-two million, three hundred eighty-six thousand, forty-eight".