5050251368448 has 1152 divisors, whose sum is σ = 16747855488000. Its totient is φ = 1339702640640.

The previous prime is 5050251368443. The next prime is 5050251368471. The reversal of 5050251368448 is 8448631520505.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5050251368448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5050251368443) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 26167105440 + ... + 26167105632.

It is an arithmetic number, because the mean of its divisors is an integer number (14538069000).

Almost surely, 2^{5050251368448} is an apocalyptic number.

5050251368448 is a gapful number since it is divisible by the number (58) 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 5050251368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8373927744000).

5050251368448 is an abundant number, since it is smaller than the sum of its proper divisors (11697604119552).

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

5050251368448 is a wasteful number, since it uses less digits than its factorization.

5050251368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 5050251368448 in words is "five trillion, fifty billion, two hundred fifty-one million, three hundred sixty-eight thousand, four hundred forty-eight".