5845576248 has 80 divisors (see below), whose sum is σ = 16557156000. Its totient is φ = 1926612864.

The previous prime is 5845576241. The next prime is 5845576249. The reversal of 5845576248 is 8426755485.

5845576248 is a `hidden beast` number, since 5 + 8 + 4 + 5 + 5 + 7 + 624 + 8 = 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 = 5845576194 and 5845576203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5845576241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6993 + ... + 108351.

It is an arithmetic number, because the mean of its divisors is an integer number (206964450).

Almost surely, 2^5845576248 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 5845576248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278578000).

5845576248 is an abundant number, since it is smaller than the sum of its proper divisors (10711579752).

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

5845576248 is a wasteful number, since it uses less digits than its factorization.

5845576248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101466 (or 101453 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The square root of 5845576248 is about 76456.3682632127. The cubic root of 5845576248 is about 1801.3956509195.

The spelling of 5845576248 in words is "five billion, eight hundred forty-five million, five hundred seventy-six thousand, two hundred forty-eight".