13873856766 has 160 divisors (see below), whose sum is σ = 36542966400. Its totient is φ = 3478184640.

The previous prime is 13873856761. The next prime is 13873856827. The reversal of 13873856766 is 66765837831.

It is a super-4 number, since 4×13873856766⁴ (a number of 42 digits) contains 4444 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13873856761) 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 79 ways as a sum of consecutive naturals, for example, 4594005 + ... + 4597023.

It is an arithmetic number, because the mean of its divisors is an integer number (228393540).

Almost surely, 2^13873856766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13873856766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271483200).

13873856766 is an abundant number, since it is smaller than the sum of its proper divisors (22669109634).

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

13873856766 is a wasteful number, since it uses less digits than its factorization.

13873856766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3071 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The spelling of 13873856766 in words is "thirteen billion, eight hundred seventy-three million, eight hundred fifty-six thousand, seven hundred sixty-six".