10362160578961 has 27 divisors (see below), whose sum is σ = 10651678970673. Its totient is φ = 10080459957120.

The previous prime is 10362160578859. The next prime is 10362160579009. The reversal of 10362160578961 is 16987506126301.

The square root of 10362160578961 is 3219031.

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 9370853604225 + 991306974736 = 3061185^2 + 995644^2 .

It is not a de Polignac number, because 10362160578961 - 2¹¹ = 10362160576913 is a prime.

It is a super-3 number, since 3×10362160578961³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10362160578361) 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, 22188780450 + ... + 22188780916.

Almost surely, 2^{10362160578961} is an apocalyptic number.

10362160578961 is the 3219031-st square number.

10362160578961 is the 1609516-th centered octagonal number.

It is an amenable number.

10362160578961 is a deficient number, since it is larger than the sum of its proper divisors (289518391712).

10362160578961 is an frugal number, since it uses more digits than its factorization.

10362160578961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 10362160578961 in words is "ten trillion, three hundred sixty-two billion, one hundred sixty million, five hundred seventy-eight thousand, nine hundred sixty-one".