10213668149689 has 9 divisors (see below), whose sum is σ = 10553871854799. Its totient is φ = 9884099107080.

The previous prime is 10213668149683. The next prime is 10213668149717. The reversal of 10213668149689 is 98694186631201.

The square root of 10213668149689 is 3195883.

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

10213668149689 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 only one way, i.e., 5166869955625 + 5046798194064 = 2273075^2 + 2246508^2 .

It is not a de Polignac number, because 10213668149689 - 2⁷ = 10213668149561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10213668149689.

It is not an unprimeable number, because it can be changed into a prime (10213668149683) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 99020827 + ... + 99123919.

It is an arithmetic number, because the mean of its divisors is an integer number (1172652428311).

Almost surely, 2^{10213668149689} is an apocalyptic number.

10213668149689 is the 3195883-rd square number.

10213668149689 is the 1597942-nd centered octagonal number.

It is an amenable number.

10213668149689 is a deficient number, since it is larger than the sum of its proper divisors (340203705110).

10213668149689 is an frugal number, since it uses more digits than its factorization.

10213668149689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206248 (or 103124 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 64.

Multiplying 10213668149689 by its sum of digits (64), we get a square (653674761580096 = 25567064²).

The spelling of 10213668149689 in words is "ten trillion, two hundred thirteen billion, six hundred sixty-eight million, one hundred forty-nine thousand, six hundred eighty-nine".