50405638144 has 51 divisors (see below), whose sum is σ = 100925587497. Its totient is φ = 25174081536.

The previous prime is 50405638141. The next prime is 50405638193. The reversal of 50405638144 is 44183650405.

It is a happy number.

The square root of 50405638144 is 224512.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42468966400 + 7936671744 = 206080^2 + 89088^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 50405638097 and 50405638106.

It is not an unprimeable number, because it can be changed into a prime (50405638141) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 57474634 + ... + 57475510.

Almost surely, 2^50405638144 is an apocalyptic number.

50405638144 is the 224512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50405638144

50405638144 is an abundant number, since it is smaller than the sum of its proper divisors (50519949353).

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

50405638144 is an frugal number, since it uses more digits than its factorization.

50405638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 50405638144 in words is "fifty billion, four hundred five million, six hundred thirty-eight thousand, one hundred forty-four".