5745854448 has 320 divisors, whose sum is σ = 18213120000. Its totient is φ = 1727308800.

The previous prime is 5745854447. The next prime is 5745854453. The reversal of 5745854448 is 8444585475.

5745854448 is a `hidden beast` number, since 5 + 7 + 4 + 58 + 544 + 48 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5745854394 and 5745854403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5745854447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24041113 + ... + 24041351.

It is an arithmetic number, because the mean of its divisors is an integer number (56916000).

Almost surely, 2^5745854448 is an apocalyptic number.

5745854448 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745854448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9106560000).

5745854448 is an abundant number, since it is smaller than the sum of its proper divisors (12467265552).

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

5745854448 is a wasteful number, since it uses less digits than its factorization.

5745854448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its digits is 14336000, while the sum is 54.

The square root of 5745854448 is about 75801.4145514449. The cubic root of 5745854448 is about 1791.0932896422.

The spelling of 5745854448 in words is "five billion, seven hundred forty-five million, eight hundred fifty-four thousand, four hundred forty-eight".