13874134176 has 72 divisors (see below), whose sum is σ = 45090942624. Its totient is φ = 3964037760.

The previous prime is 13874134171. The next prime is 13874134207. The reversal of 13874134176 is 67143147831.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13874134171) 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 11 ways as a sum of consecutive naturals, for example, 3438990 + ... + 3443021.

It is an arithmetic number, because the mean of its divisors is an integer number (626263092).

Almost surely, 2^13874134176 is an apocalyptic number.

13874134176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13874134176 is an abundant number, since it is smaller than the sum of its proper divisors (31216808448).

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

13874134176 is a wasteful number, since it uses less digits than its factorization.

13874134176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882034 (or 6882023 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 13874134176 in words is "thirteen billion, eight hundred seventy-four million, one hundred thirty-four thousand, one hundred seventy-six".