1311181639677 has 192 divisors, whose sum is σ = 2566378214400. Its totient is φ = 653971086720.

The previous prime is 1311181639643. The next prime is 1311181639679. The reversal of 1311181639677 is 7769361811131.

It is a happy number.

1311181639677 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 181 + 6 + 396 + 77 = 666.

It is not a de Polignac number, because 1311181639677 - 2¹⁴ = 1311181623293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311181639679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186588438 + ... + 186595464.

It is an arithmetic number, because the mean of its divisors is an integer number (13366553200).

Almost surely, 2^{1311181639677} is an apocalyptic number.

It is an amenable number.

1311181639677 is a deficient number, since it is larger than the sum of its proper divisors (1255196574723).

1311181639677 is a wasteful number, since it uses less digits than its factorization.

1311181639677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7653 (or 7640 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The spelling of 1311181639677 in words is "one trillion, three hundred eleven billion, one hundred eighty-one million, six hundred thirty-nine thousand, six hundred seventy-seven".