8553585348 has 216 divisors, whose sum is σ = 28040230400. Its totient is φ = 2149804800.

The previous prime is 8553585331. The next prime is 8553585349. The reversal of 8553585348 is 8435853558.

It is a happy number.

8553585348 is a `hidden beast` number, since 8 + 5 + 53 + 58 + 534 + 8 = 666.

It is a super-2 number, since 2×8553585348² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8553585294 and 8553585303.

It is not an unprimeable number, because it can be changed into a prime (8553585349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 940728 + ... + 949776.

Almost surely, 2^8553585348 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 8553585348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020115200).

8553585348 is an abundant number, since it is smaller than the sum of its proper divisors (19486645052).

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

8553585348 is a wasteful number, since it uses less digits than its factorization.

8553585348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9119 (or 9103 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 54.

The square root of 8553585348 is about 92485.5953540874. The cubic root of 8553585348 is about 2045.1071372982.

The spelling of 8553585348 in words is "eight billion, five hundred fifty-three million, five hundred eighty-five thousand, three hundred forty-eight".