800555048136 has 160 divisors (see below), whose sum is σ = 2277774354240. Its totient is φ = 262636463232.

The previous prime is 800555048131. The next prime is 800555048143. The reversal of 800555048136 is 631840555008.

800555048136 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 5 + 504 + 8 + 136 = 666.

It is a super-3 number, since 3×800555048136³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 800555048091 and 800555048100.

It is not an unprimeable number, because it can be changed into a prime (800555048131) 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 39 ways as a sum of consecutive naturals, for example, 53090230 + ... + 53105306.

It is an arithmetic number, because the mean of its divisors is an integer number (14236089714).

Almost surely, 2^800555048136 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 800555048136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138887177120).

800555048136 is an abundant number, since it is smaller than the sum of its proper divisors (1477219306104).

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

800555048136 is a wasteful number, since it uses less digits than its factorization.

800555048136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16385 (or 16372 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 800555048136 in words is "eight hundred billion, five hundred fifty-five million, forty-eight thousand, one hundred thirty-six".