50214144000 has 384 divisors, whose sum is σ = 168566711040. Its totient is φ = 13271040000.

The previous prime is 50214143981. The next prime is 50214144017. The reversal of 50214144000 is 44141205.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115967784 + ... + 115968216.

It is an arithmetic number, because the mean of its divisors is an integer number (438975810).

Almost surely, 2^50214144000 is an apocalyptic number.

50214144000 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 50214144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84283355520).

50214144000 is an abundant number, since it is smaller than the sum of its proper divisors (118352567040).

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

50214144000 is a wasteful number, since it uses less digits than its factorization.

50214144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 50214144000 its reverse (44141205), we get a palindrome (50258285205).

The spelling of 50214144000 in words is "fifty billion, two hundred fourteen million, one hundred forty-four thousand".