208895741807076 has 135 divisors (see below), whose sum is σ = 550203796356907. Its totient is φ = 69111857957760.

The previous prime is 208895741807033. The next prime is 208895741807089. The reversal of 208895741807076 is 670708147598802.

The square root of 208895741807076 is 14453226.

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

208895741807076 is a `hidden beast` number, since 20 + 8 + 8 + 9 + 57 + 418 + 0 + 70 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 325071022500 + 208570670784576 = 570150^2 + 14441976^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 208895741806995 and 208895741807013.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35641652386 + ... + 35641658246.

Almost surely, 2^{208895741807076} is an apocalyptic number.

208895741807076 is the 14453226-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208895741807076

208895741807076 is an abundant number, since it is smaller than the sum of its proper divisors (341308054549831).

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

208895741807076 is an frugal number, since it uses more digits than its factorization.

208895741807076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12012 (or 6003 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 208895741807076 in words is "two hundred eight trillion, eight hundred ninety-five billion, seven hundred forty-one million, eight hundred seven thousand, seventy-six".