49168424448 has 960 divisors, whose sum is σ = 180168468480. Its totient is φ = 12695961600.

The previous prime is 49168424441. The next prime is 49168424497. The reversal of 49168424448 is 84442486194.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49168424394 and 49168424403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49168424441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 592390615 + ... + 592390697.

It is an arithmetic number, because the mean of its divisors is an integer number (187675488).

Almost surely, 2^49168424448 is an apocalyptic number.

49168424448 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 49168424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90084234240).

49168424448 is an abundant number, since it is smaller than the sum of its proper divisors (131000044032).

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

49168424448 is a wasteful number, since it uses less digits than its factorization.

49168424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 49168424448 in words is "forty-nine billion, one hundred sixty-eight million, four hundred twenty-four thousand, four hundred forty-eight".