50456180736 has 576 divisors, whose sum is σ = 165275510400. Its totient is φ = 14727315456.

The previous prime is 50456180717. The next prime is 50456180791. The reversal of 50456180736 is 63708165405.

50456180736 is a `hidden beast` number, since 5 + 0 + 4 + 561 + 80 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 50456180691 and 50456180700.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 607905751 + ... + 607905833.

It is an arithmetic number, because the mean of its divisors is an integer number (286936650).

Almost surely, 2^50456180736 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 50456180736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82637755200).

50456180736 is an abundant number, since it is smaller than the sum of its proper divisors (114819329664).

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

50456180736 is a wasteful number, since it uses less digits than its factorization.

50456180736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 50456180736 in words is "fifty billion, four hundred fifty-six million, one hundred eighty thousand, seven hundred thirty-six".