10729144147969 has 8 divisors (see below), whose sum is σ = 11952892685160. Its totient is φ = 9562314147456.

The previous prime is 10729144147927. The next prime is 10729144148029. The reversal of 10729144147969 is 96974144192701.

It can be written as a sum of positive squares in 4 ways, for example, as 4907703025 + 10724236444944 = 70055^2 + 3274788^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10729144147969 is a prime.

It is a super-2 number, since 2×10729144147969² (a number of 27 digits) contains 22 as substring.

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 10729144147969.

It is not an unprimeable number, because it can be changed into a prime (10729144747969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14229633772 + ... + 14229634525.

It is an arithmetic number, because the mean of its divisors is an integer number (1494111585645).

Almost surely, 2^{10729144147969} is an apocalyptic number.

It is an amenable number.

10729144147969 is a deficient number, since it is larger than the sum of its proper divisors (1223748537191).

10729144147969 is a wasteful number, since it uses less digits than its factorization.

10729144147969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28459268339.

The product of its (nonzero) digits is 27433728, while the sum is 64.

The spelling of 10729144147969 in words is "ten trillion, seven hundred twenty-nine billion, one hundred forty-four million, one hundred forty-seven thousand, nine hundred sixty-nine".