205494136848 has 960 divisors, whose sum is σ = 798408898560. Its totient is φ = 47626444800.

The previous prime is 205494136831. The next prime is 205494136889. The reversal of 205494136848 is 848631494502.

205494136848 is a `hidden beast` number, since 2 + 0 + 549 + 4 + 13 + 6 + 84 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 205494136794 and 205494136803.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 620828043 + ... + 620828373.

It is an arithmetic number, because the mean of its divisors is an integer number (831675936).

Almost surely, 2^205494136848 is an apocalyptic number.

205494136848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205494136848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399204449280).

205494136848 is an abundant number, since it is smaller than the sum of its proper divisors (592914761712).

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

205494136848 is a wasteful number, since it uses less digits than its factorization.

205494136848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 205494136848 in words is "two hundred five billion, four hundred ninety-four million, one hundred thirty-six thousand, eight hundred forty-eight".