208102929489 has 135 divisors (see below), whose sum is σ = 392285365857. Its totient is φ = 109571507136.

The previous prime is 208102929467. The next prime is 208102929509. The reversal of 208102929489 is 984929201802.

The square root of 208102929489 is 456183.

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

208102929489 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 122651947089 + 85450982400 = 350217^2 + 292320^2 .

It is not a de Polignac number, because 208102929489 - 2⁵ = 208102929457 is a prime.

It is a super-2 number, since 2×208102929489² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (208102929409) 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 134 ways as a sum of consecutive naturals, for example, 373613599 + ... + 373614155.

Almost surely, 2^208102929489 is an apocalyptic number.

208102929489 is the 456183-rd square number.

208102929489 is the 228092-nd centered octagonal number.

It is an amenable number.

208102929489 is a deficient number, since it is larger than the sum of its proper divisors (184182436368).

208102929489 is an frugal number, since it uses more digits than its factorization.

208102929489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 208102929489 in words is "two hundred eight billion, one hundred two million, nine hundred twenty-nine thousand, four hundred eighty-nine".