50141856912768 has 768 divisors, whose sum is σ = 159362167910400. Its totient is φ = 15648982272000.

The previous prime is 50141856912709. The next prime is 50141856912811. The reversal of 50141856912768 is 86721965814105.

50141856912768 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 1 + 8 + 569 + 1 + 2 + 7 + 68 = 666.

It is a super-2 number, since 2×50141856912768² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18829085005 + ... + 18829087667.

It is an arithmetic number, because the mean of its divisors is an integer number (207502822800).

Almost surely, 2^{50141856912768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50141856912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79681083955200).

50141856912768 is an abundant number, since it is smaller than the sum of its proper divisors (109220310997632).

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

50141856912768 is a wasteful number, since it uses less digits than its factorization.

50141856912768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 50141856912768 in words is "fifty trillion, one hundred forty-one billion, eight hundred fifty-six million, nine hundred twelve thousand, seven hundred sixty-eight".