49538936448 has 384 divisors, whose sum is σ = 154690099200. Its totient is φ = 15762263040.

The previous prime is 49538936441. The next prime is 49538936449. The reversal of 49538936448 is 84463983594.

49538936448 is a `hidden beast` number, since 4 + 9 + 538 + 93 + 6 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (49538936441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80030283 + ... + 80030901.

It is an arithmetic number, because the mean of its divisors is an integer number (402838800).

Almost surely, 2^49538936448 is an apocalyptic number.

49538936448 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 49538936448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77345049600).

49538936448 is an abundant number, since it is smaller than the sum of its proper divisors (105151162752).

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

49538936448 is an equidigital number, since it uses as much as digits as its factorization.

49538936448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 738 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 49538936448 in words is "forty-nine billion, five hundred thirty-eight million, nine hundred thirty-six thousand, four hundred forty-eight".