36206858961 has 243 divisors, whose sum is σ = 71728698483. Its totient is φ = 17536296960.

The previous prime is 36206858881. The next prime is 36206858969. The reversal of 36206858961 is 16985860263.

It is a happy number.

The square root of 36206858961 is 190281.

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

36206858961 is a `hidden beast` number, since 3 + 620 + 6 + 8 + 5 + 8 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 35633735361 + 573123600 = 188769^2 + 23940^2 .

It is not a de Polignac number, because 36206858961 - 2¹⁷ = 36206727889 is a prime.

It is a super-3 number, since 3×36206858961³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36206858898 and 36206858907.

It is not an unprimeable number, because it can be changed into a prime (36206858969) 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, 883094101 + ... + 883094141.

Almost surely, 2^36206858961 is an apocalyptic number.

36206858961 is the 190281-st square number.

36206858961 is the 95141-st centered octagonal number.

It is an amenable number.

36206858961 is a deficient number, since it is larger than the sum of its proper divisors (35521839522).

36206858961 is a wasteful number, since it uses less digits than its factorization.

36206858961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 36206858961 in words is "thirty-six billion, two hundred six million, eight hundred fifty-eight thousand, nine hundred sixty-one".