5056045344 has 288 divisors, whose sum is σ = 17531894016. Its totient is φ = 1349222400.

The previous prime is 5056045343. The next prime is 5056045349. The reversal of 5056045344 is 4435406505.

5056045344 is a `hidden beast` number, since 5 + 0 + 5 + 604 + 5 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5056045299 and 5056045308.

It is not an unprimeable number, because it can be changed into a prime (5056045343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5174584 + ... + 5175560.

It is an arithmetic number, because the mean of its divisors is an integer number (60874632).

Almost surely, 2^5056045344 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 5056045344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765947008).

5056045344 is an abundant number, since it is smaller than the sum of its proper divisors (12475848672).

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

5056045344 is a wasteful number, since it uses less digits than its factorization.

5056045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5056045344 is about 71105.8741877209. The cubic root of 5056045344 is about 1716.3413016988.

The spelling of 5056045344 in words is "five billion, fifty-six million, forty-five thousand, three hundred forty-four".