36303288098841 has 45 divisors (see below), whose sum is σ = 54402217861453. Its totient is φ = 24125948919360.

The previous prime is 36303288098839. The next prime is 36303288098881. The reversal of 36303288098841 is 14889088230363.

The square root of 36303288098841 is 6025221.

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

36303288098841 is a `hidden beast` number, since 3 + 6 + 303 + 288 + 0 + 9 + 8 + 8 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31336434441 + 36271951664400 = 177021^2 + 6022620^2 .

It is not a de Polignac number, because 36303288098841 - 2¹ = 36303288098839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36303288098881) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21094297861 + ... + 21094299581.

Almost surely, 2^{36303288098841} is an apocalyptic number.

36303288098841 is the 6025221-st square number.

36303288098841 is the 3012611-st centered octagonal number.

It is an amenable number.

36303288098841 is a deficient number, since it is larger than the sum of its proper divisors (18098929762612).

36303288098841 is an frugal number, since it uses more digits than its factorization.

36303288098841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 36303288098841 in words is "thirty-six trillion, three hundred three billion, two hundred eighty-eight million, ninety-eight thousand, eight hundred forty-one".