5746581648 has 240 divisors, whose sum is σ = 17402636160. Its totient is φ = 1765632000.

The previous prime is 5746581641. The next prime is 5746581653. The reversal of 5746581648 is 8461856475.

5746581648 is a `hidden beast` number, since 57 + 4 + 6 + 581 + 6 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5746581594 and 5746581603.

It is not an unprimeable number, because it can be changed into a prime (5746581641) 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, 13714783 + ... + 13715201.

It is an arithmetic number, because the mean of its divisors is an integer number (72510984).

Almost surely, 2^5746581648 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 5746581648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701318080).

5746581648 is an abundant number, since it is smaller than the sum of its proper divisors (11656054512).

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

5746581648 is a wasteful number, since it uses less digits than its factorization.

5746581648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 589 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 5746581648 is about 75806.2111439426. The cubic root of 5746581648 is about 1791.1688471946.

The spelling of 5746581648 in words is "five billion, seven hundred forty-six million, five hundred eighty-one thousand, six hundred forty-eight".