11681918643759 has 128 divisors (see below), whose sum is σ = 20404550799360. Its totient is φ = 5769059328000.

The previous prime is 11681918643719. The next prime is 11681918643767. The reversal of 11681918643759 is 95734681918611.

It is not a de Polignac number, because 11681918643759 - 2²³ = 11681910255151 is a prime.

It is a super-2 number, since 2×11681918643759² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11681918643693 and 11681918643702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681918643719) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 734657709 + ... + 734673609.

It is an arithmetic number, because the mean of its divisors is an integer number (159410553120).

Almost surely, 2^{11681918643759} is an apocalyptic number.

11681918643759 is a deficient number, since it is larger than the sum of its proper divisors (8722632155601).

11681918643759 is a wasteful number, since it uses less digits than its factorization.

11681918643759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16761.

The product of its digits is 78382080, while the sum is 69.

The spelling of 11681918643759 in words is "eleven trillion, six hundred eighty-one billion, nine hundred eighteen million, six hundred forty-three thousand, seven hundred fifty-nine".