9509156350864 has 45 divisors (see below), whose sum is σ = 18885320565169. Its totient is φ = 4638366158720.

The previous prime is 9509156350717. The next prime is 9509156350873. The reversal of 9509156350864 is 4680536519059.

The square root of 9509156350864 is 3083692.

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., 458204440464 + 9050951910400 = 676908^2 + 3008480^2 .

It is a super-3 number, since 3×9509156350864³ (a number of 40 digits) contains 333 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 8 ways as a sum of consecutive naturals, for example, 505716087 + ... + 505734889.

Almost surely, 2^{9509156350864} is an apocalyptic number.

9509156350864 is the 3083692-nd square number.

It is an amenable number.

9509156350864 is a deficient number, since it is larger than the sum of its proper divisors (9376164214305).

9509156350864 is an frugal number, since it uses more digits than its factorization.

9509156350864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37696 (or 18846 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 61.

The spelling of 9509156350864 in words is "nine trillion, five hundred nine billion, one hundred fifty-six million, three hundred fifty thousand, eight hundred sixty-four".