209596153134096 has 225 divisors, whose sum is σ = 610957120905901. Its totient is φ = 69370777254528.

The previous prime is 209596153134019. The next prime is 209596153134113. The reversal of 209596153134096 is 690431351695902.

The square root of 209596153134096 is 14477436.

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

209596153134096 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 9 + 6 + 1 + 531 + 3 + 4 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24555632372496 + 185040520761600 = 4955364^2 + 13602960^2 .

It is a super-2 number, since 2×209596153134096² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 77656965355 + ... + 77656968053.

Almost surely, 2^{209596153134096} is an apocalyptic number.

209596153134096 is the 14477436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209596153134096

209596153134096 is an abundant number, since it is smaller than the sum of its proper divisors (401360967771805).

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

209596153134096 is an frugal number, since it uses more digits than its factorization.

209596153134096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 209596153134096 in words is "two hundred nine trillion, five hundred ninety-six billion, one hundred fifty-three million, one hundred thirty-four thousand, ninety-six".