8056546848 has 384 divisors, whose sum is σ = 28070461440. Its totient is φ = 2199674880.

The previous prime is 8056546847. The next prime is 8056546853. The reversal of 8056546848 is 8486456508.

8056546848 is a `hidden beast` number, since 8 + 0 + 56 + 546 + 8 + 48 = 666.

It is a super-2 number, since 2×8056546848² (a number of 21 digits) contains 22 as substring.

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 = 8056546794 and 8056546803.

It is not an unprimeable number, because it can be changed into a prime (8056546847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18186115 + ... + 18186557.

It is an arithmetic number, because the mean of its divisors is an integer number (73100160).

Almost surely, 2^8056546848 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 8056546848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035230720).

8056546848 is an abundant number, since it is smaller than the sum of its proper divisors (20013914592).

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

8056546848 is a wasteful number, since it uses less digits than its factorization.

8056546848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The square root of 8056546848 is about 89758.2689672656. The cubic root of 8056546848 is about 2004.7011781370.

The spelling of 8056546848 in words is "eight billion, fifty-six million, five hundred forty-six thousand, eight hundred forty-eight".