36160486462881 has 243 divisors, whose sum is σ = 63490036343097. Its totient is φ = 20574347016960.

The previous prime is 36160486462801. The next prime is 36160486462889. The reversal of 36160486462881 is 18826468406163.

It is a happy number.

The square root of 36160486462881 is 6013359.

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

36160486462881 is a `hidden beast` number, since 3 + 6 + 16 + 0 + 4 + 86 + 462 + 8 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7389921470481 + 28770564992400 = 2718441^2 + 5363820^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 36160486462881 - 2¹⁵ = 36160486430113 is a prime.

It is a super-2 number, since 2×36160486462881² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36160486462889) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 91084348575 + ... + 91084348971.

Almost surely, 2^{36160486462881} is an apocalyptic number.

36160486462881 is the 6013359-th square number.

36160486462881 is the 3006680-th centered octagonal number.

It is an amenable number.

36160486462881 is a deficient number, since it is larger than the sum of its proper divisors (27329549880216).

36160486462881 is an frugal number, since it uses more digits than its factorization.

36160486462881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 36160486462881 in words is "thirty-six trillion, one hundred sixty billion, four hundred eighty-six million, four hundred sixty-two thousand, eight hundred eighty-one".