361452261681 has 63 divisors (see below), whose sum is σ = 630607170843. Its totient is φ = 206479218960.

The previous prime is 361452261679. The next prime is 361452261689. The reversal of 361452261681 is 186162254163.

The square root of 361452261681 is 601209.

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

361452261681 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 5 + 22 + 616 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26975106081 + 334477155600 = 164241^2 + 578340^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 361452261681 - 2¹ = 361452261679 is a prime.

It is a super-2 number, since 2×361452261681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (361452261689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 113626911 + ... + 113630091.

Almost surely, 2^361452261681 is an apocalyptic number.

361452261681 is the 601209-th square number.

361452261681 is the 300605-th centered octagonal number.

It is an amenable number.

361452261681 is a deficient number, since it is larger than the sum of its proper divisors (269154909162).

361452261681 is an frugal number, since it uses more digits than its factorization.

361452261681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 3191 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 361452261681 in words is "three hundred sixty-one billion, four hundred fifty-two million, two hundred sixty-one thousand, six hundred eighty-one".