5317974144 has 384 divisors, whose sum is σ = 18744336000. Its totient is φ = 1413365760.

The previous prime is 5317974139. The next prime is 5317974169. The reversal of 5317974144 is 4414797135.

It is a happy number.

5317974144 is a `hidden beast` number, since 531 + 7 + 9 + 74 + 1 + 44 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5317974144.

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, 9345892 + ... + 9346460.

It is an arithmetic number, because the mean of its divisors is an integer number (48813375).

Almost surely, 2^5317974144 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 5317974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372168000).

5317974144 is an abundant number, since it is smaller than the sum of its proper divisors (13426361856).

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

5317974144 is a wasteful number, since it uses less digits than its factorization.

5317974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 661 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 5317974144 is about 72924.4413348501. The cubic root of 5317974144 is about 1745.4821309087.

The spelling of 5317974144 in words is "five billion, three hundred seventeen million, nine hundred seventy-four thousand, one hundred forty-four".