8553084144 has 80 divisors (see below), whose sum is σ = 24935368320. Its totient is φ = 2502465280.

The previous prime is 8553084143. The next prime is 8553084161. The reversal of 8553084144 is 4414803558.

It is a happy number.

It is a super-3 number, since 3×8553084144³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8553084096 and 8553084105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8553084143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263982 + ... + 294605.

It is an arithmetic number, because the mean of its divisors is an integer number (311692104).

Almost surely, 2^8553084144 is an apocalyptic number.

It is an amenable number.

8553084144 is an abundant number, since it is smaller than the sum of its proper divisors (16382284176).

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

8553084144 is a wasteful number, since it uses less digits than its factorization.

8553084144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558638 (or 558632 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 8553084144 is about 92482.8856816222. The cubic root of 8553084144 is about 2045.0671916358.

The spelling of 8553084144 in words is "eight billion, five hundred fifty-three million, eighty-four thousand, one hundred forty-four".