10697628942729 has 9 divisors (see below), whose sum is σ = 15452144868199. Its totient is φ = 7131746087040.

The previous prime is 10697628942701. The next prime is 10697628942739. The reversal of 10697628942729 is 92724982679601.

The square root of 10697628942729 is 3270723.

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

10697628942729 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 76 + 289 + 4 + 272 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324076302729 + 10373552640000 = 569277^2 + 3220800^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10697628942729 - 2¹³ = 10697628934537 is a prime.

It is a super-2 number, since 2×10697628942729² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10697628942739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9267049 + ... + 10357289.

Almost surely, 2^{10697628942729} is an apocalyptic number.

10697628942729 is the 3270723-rd square number.

10697628942729 is the 1635362-nd centered octagonal number.

It is an amenable number.

10697628942729 is a deficient number, since it is larger than the sum of its proper divisors (4754515925470).

10697628942729 is an frugal number, since it uses more digits than its factorization.

10697628942729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180488 (or 1090244 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 10697628942729 in words is "ten trillion, six hundred ninety-seven billion, six hundred twenty-eight million, nine hundred forty-two thousand, seven hundred twenty-nine".