50124582144 has 1080 divisors, whose sum is σ = 196936943112. Its totient is φ = 12138577920.

The previous prime is 50124582139. The next prime is 50124582191. The reversal of 50124582144 is 44128542105.

50124582144 is a `hidden beast` number, since 50 + 1 + 24 + 582 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199148544 + 49925433600 = 14112^2 + 223440^2 .

It is a super-2 number, since 2×50124582144² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 50124582099 and 50124582108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1222550764 + ... + 1222550804.

Almost surely, 2^50124582144 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 50124582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98468471556).

50124582144 is an abundant number, since it is smaller than the sum of its proper divisors (146812360968).

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

50124582144 is a wasteful number, since it uses less digits than its factorization.

50124582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 50124582144 in words is "fifty billion, one hundred twenty-four million, five hundred eighty-two thousand, one hundred forty-four".