50145144400 has 180 divisors, whose sum is σ = 132273566068. Its totient is φ = 18160496640.

The previous prime is 50145144391. The next prime is 50145144437. The reversal of 50145144400 is 444154105.

It can be written as a sum of positive squares in 18 ways, for example, as 34587072576 + 15558071824 = 185976^2 + 124732^2 .

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 35 ways as a sum of consecutive naturals, for example, 14605084 + ... + 14608516.

Almost surely, 2^50145144400 is an apocalyptic number.

50145144400 is a gapful number since it is divisible by the number (50) 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 50145144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66136783034).

50145144400 is an abundant number, since it is smaller than the sum of its proper divisors (82128421668).

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

50145144400 is a wasteful number, since it uses less digits than its factorization.

50145144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

Adding to 50145144400 its reverse (444154105), we get a palindrome (50589298505).

The spelling of 50145144400 in words is "fifty billion, one hundred forty-five million, one hundred forty-four thousand, four hundred".