13988951324166 has 384 divisors, whose sum is σ = 36448084632960. Its totient is φ = 3544876597248.

The previous prime is 13988951324119. The next prime is 13988951324191. The reversal of 13988951324166 is 66142315988931.

13988951324166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13988951324097 and 13988951324106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5194559116 + ... + 5194561808.

It is an arithmetic number, because the mean of its divisors is an integer number (94916887065).

Almost surely, 2^{13988951324166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13988951324166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18224042316480).

13988951324166 is an abundant number, since it is smaller than the sum of its proper divisors (22459133308794).

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

13988951324166 is a wasteful number, since it uses less digits than its factorization.

13988951324166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3201 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 66.

The spelling of 13988951324166 in words is "thirteen trillion, nine hundred eighty-eight billion, nine hundred fifty-one million, three hundred twenty-four thousand, one hundred sixty-six".