11677671083 has 8 divisors (see below), whose sum is σ = 12579223776. Its totient is φ = 10776585600.

The previous prime is 11677671053. The next prime is 11677671107. The reversal of 11677671083 is 38017677611.

11677671083 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 11677671083 - 2²² = 11673476779 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11677671053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63998 + ... + 165683.

It is an arithmetic number, because the mean of its divisors is an integer number (1572402972).

Almost surely, 2^11677671083 is an apocalyptic number.

11677671083 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11677671083 is a deficient number, since it is larger than the sum of its proper divisors (901552693).

11677671083 is a wasteful number, since it uses less digits than its factorization.

11677671083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233605.

The product of its (nonzero) digits is 296352, while the sum is 47.

The spelling of 11677671083 in words is "eleven billion, six hundred seventy-seven million, six hundred seventy-one thousand, eighty-three".