11205862711681 has 32 divisors (see below), whose sum is σ = 12920178585600. Its totient is φ = 9618926254080.

The previous prime is 11205862711643. The next prime is 11205862711709. The reversal of 11205862711681 is 18611726850211.

It is not a de Polignac number, because 11205862711681 - 2¹¹ = 11205862709633 is a prime.

It is a super-2 number, since 2×11205862711681² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11205862741681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102818625 + ... + 102927553.

It is an arithmetic number, because the mean of its divisors is an integer number (403755580800).

Almost surely, 2^{11205862711681} is an apocalyptic number.

11205862711681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11205862711681 is a deficient number, since it is larger than the sum of its proper divisors (1714315873919).

11205862711681 is a wasteful number, since it uses less digits than its factorization.

11205862711681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114189.

The product of its (nonzero) digits is 322560, while the sum is 49.

The spelling of 11205862711681 in words is "eleven trillion, two hundred five billion, eight hundred sixty-two million, seven hundred eleven thousand, six hundred eighty-one".