5014211175144 has 192 divisors, whose sum is σ = 14476785523200. Its totient is φ = 1564211708928.

The previous prime is 5014211175131. The next prime is 5014211175209. The reversal of 5014211175144 is 4415711124105.

5014211175144 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 21 + 117 + 514 + 4 = 666.

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 = 5014211175099 and 5014211175108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 293340262 + ... + 293357354.

It is an arithmetic number, because the mean of its divisors is an integer number (75399924600).

Almost surely, 2^{5014211175144} 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 5014211175144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238392761600).

5014211175144 is an abundant number, since it is smaller than the sum of its proper divisors (9462574348056).

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

5014211175144 is a wasteful number, since it uses less digits than its factorization.

5014211175144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20944 (or 20937 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

Adding to 5014211175144 its reverse (4415711124105), we get a palindrome (9429922299249).

The spelling of 5014211175144 in words is "five trillion, fourteen billion, two hundred eleven million, one hundred seventy-five thousand, one hundred forty-four".