13670874224 has 320 divisors, whose sum is σ = 35547724800. Its totient is φ = 4951425024.

The previous prime is 13670874209. The next prime is 13670874257. The reversal of 13670874224 is 42247807631.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 87075554 + ... + 87075710.

It is an arithmetic number, because the mean of its divisors is an integer number (111086640).

Almost surely, 2^13670874224 is an apocalyptic number.

13670874224 is a gapful number since it is divisible by the number (14) 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 13670874224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773862400).

13670874224 is an abundant number, since it is smaller than the sum of its proper divisors (21876850576).

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

13670874224 is a wasteful number, since it uses less digits than its factorization.

13670874224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 13670874224 in words is "thirteen billion, six hundred seventy million, eight hundred seventy-four thousand, two hundred twenty-four".