49952821248 has 312 divisors, whose sum is σ = 160818293376. Its totient is φ = 14809497600.

The previous prime is 49952821229. The next prime is 49952821253. The reversal of 49952821248 is 84212825994.

49952821248 is a `hidden beast` number, since 4 + 99 + 528 + 2 + 1 + 24 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49952821194 and 49952821203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19057378 + ... + 19059998.

It is an arithmetic number, because the mean of its divisors is an integer number (515443248).

Almost surely, 2^49952821248 is an apocalyptic number.

49952821248 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 49952821248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80409146688).

49952821248 is an abundant number, since it is smaller than the sum of its proper divisors (110865472128).

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

49952821248 is a wasteful number, since it uses less digits than its factorization.

49952821248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2684 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 49952821248 in words is "forty-nine billion, nine hundred fifty-two million, eight hundred twenty-one thousand, two hundred forty-eight".