201076909056 has 297 divisors, whose sum is σ = 606410696281. Its totient is φ = 66638204928.

The previous prime is 201076909039. The next prime is 201076909067. The reversal of 201076909056 is 650909670102.

It is a happy number.

The square root of 201076909056 is 448416.

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

It can be written as a sum of positive squares in only one way, i.e., 182910182400 + 18166726656 = 427680^2 + 134784^2 .

It is a super-2 number, since 2×201076909056² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1162294186 + ... + 1162294358.

Almost surely, 2^201076909056 is an apocalyptic number.

201076909056 is the 448416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201076909056

201076909056 is an abundant number, since it is smaller than the sum of its proper divisors (405333787225).

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

201076909056 is an frugal number, since it uses more digits than its factorization.

201076909056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 201076909056 in words is "two hundred one billion, seventy-six million, nine hundred nine thousand, fifty-six".