11860357668769 has 27 divisors (see below), whose sum is σ = 12189469470969. Its totient is φ = 11540052070560.

The previous prime is 11860357668743. The next prime is 11860357668773. The reversal of 11860357668769 is 96786675306811.

It is a happy number.

The square root of 11860357668769 is 3443887.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2257250832225 + 9603106836544 = 1502415^2 + 3098888^2 .

It is not a de Polignac number, because 11860357668769 - 2³⁵ = 11825997930401 is a prime.

It is a super-2 number, since 2×11860357668769² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11860357668869) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33037207812 + ... + 33037208170.

Almost surely, 2^{11860357668769} is an apocalyptic number.

11860357668769 is the 3443887-th square number.

11860357668769 is the 1721944-th centered octagonal number.

It is an amenable number.

11860357668769 is a deficient number, since it is larger than the sum of its proper divisors (329111802200).

11860357668769 is an frugal number, since it uses more digits than its factorization.

11860357668769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 73.

The spelling of 11860357668769 in words is "eleven trillion, eight hundred sixty billion, three hundred fifty-seven million, six hundred sixty-eight thousand, seven hundred sixty-nine".