206488448100 has 891 divisors, whose sum is σ = 784785743371. Its totient is φ = 47113228800.

The previous prime is 206488448081. The next prime is 206488448107. The reversal of 206488448100 is 1844884602.

The square root of 206488448100 is 454410.

It is a perfect power (a square), and thus also a powerful number.

206488448100 is a `hidden beast` number, since 20 + 6 + 4 + 88 + 448 + 100 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4829972004 + 201658476096 = 69498^2 + 449064^2 .

It is a tau number, because it is divible by the number of its divisors (891).

It is a super-2 number, since 2×206488448100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206488448107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 296 ways as a sum of consecutive naturals, for example, 12146379292 + ... + 12146379308.

Almost surely, 2^206488448100 is an apocalyptic number.

206488448100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206488448100 is the 454410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206488448100

206488448100 is an abundant number, since it is smaller than the sum of its proper divisors (578297295271).

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

206488448100 is a wasteful number, since it uses less digits than its factorization.

206488448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 206488448100 in words is "two hundred six billion, four hundred eighty-eight million, four hundred forty-eight thousand, one hundred".