8350961378809 has 27 divisors (see below), whose sum is σ = 9958087747341. Its totient is φ = 6982688784960.

The previous prime is 8350961378807. The next prime is 8350961378849. The reversal of 8350961378809 is 9088731690538.

The square root of 8350961378809 is 2889803.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4480219922409 + 3870741456400 = 2116653^2 + 1967420^2 .

It is not a de Polignac number, because 8350961378809 - 2¹ = 8350961378807 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8350961378807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 829368427 + ... + 829378495.

Almost surely, 2^{8350961378809} is an apocalyptic number.

8350961378809 is the 2889803-rd square number.

8350961378809 is the 1444902-nd centered octagonal number.

It is an amenable number.

8350961378809 is a deficient number, since it is larger than the sum of its proper divisors (1607126368532).

8350961378809 is an frugal number, since it uses more digits than its factorization.

8350961378809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20234 (or 10117 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 67.

The spelling of 8350961378809 in words is "eight trillion, three hundred fifty billion, nine hundred sixty-one million, three hundred seventy-eight thousand, eight hundred nine".