206698048128 has 768 divisors, whose sum is σ = 741519273600. Its totient is φ = 55848960000.

The previous prime is 206698048127. The next prime is 206698048159. The reversal of 206698048128 is 821840896602.

206698048128 is a `hidden beast` number, since 2 + 0 + 6 + 69 + 80 + 481 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (206698048127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2046515278 + ... + 2046515378.

Almost surely, 2^206698048128 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 206698048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370759636800).

206698048128 is an abundant number, since it is smaller than the sum of its proper divisors (534821225472).

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

206698048128 is a wasteful number, since it uses less digits than its factorization.

206698048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 206698048128 in words is "two hundred six billion, six hundred ninety-eight million, forty-eight thousand, one hundred twenty-eight".