213450956361 has 24 divisors (see below), whose sum is σ = 310491122760. Its totient is φ = 141299755776.

The previous prime is 213450956317. The next prime is 213450956371. The reversal of 213450956361 is 163659054312.

213450956361 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 0 + 9 + 5 + 636 + 1 = 666.

213450956361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93731496336 + 119719460025 = 306156^2 + 346005^2 .

It is not a de Polignac number, because 213450956361 - 2¹⁵ = 213450923593 is a prime.

It is a super-4 number, since 4×213450956361⁴ (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (213450956371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154925 + ... + 1326933.

It is an arithmetic number, because the mean of its divisors is an integer number (12937130115).

Almost surely, 2^213450956361 is an apocalyptic number.

It is an amenable number.

213450956361 is a deficient number, since it is larger than the sum of its proper divisors (97040166399).

213450956361 is a wasteful number, since it uses less digits than its factorization.

213450956361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172985 (or 172982 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 213450956361 in words is "two hundred thirteen billion, four hundred fifty million, nine hundred fifty-six thousand, three hundred sixty-one".