12171686783616 has 256 divisors, whose sum is σ = 37590199372800. Its totient is φ = 3872562462720.

The previous prime is 12171686783603. The next prime is 12171686783713. The reversal of 12171686783616 is 61638768617121.

12171686783616 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 1 + 6 + 8 + 6 + 7 + 8 + 3 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7042780 + ... + 8599076.

It is an arithmetic number, because the mean of its divisors is an integer number (146836716300).

Almost surely, 2^{12171686783616} is an apocalyptic number.

12171686783616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12171686783616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795099686400).

12171686783616 is an abundant number, since it is smaller than the sum of its proper divisors (25418512589184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12171686783616 is a wasteful number, since it uses less digits than its factorization.

12171686783616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556424 (or 1556406 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 12171686783616 in words is "twelve trillion, one hundred seventy-one billion, six hundred eighty-six million, seven hundred eighty-three thousand, six hundred sixteen".