14295674228160 has 224 divisors, whose sum is σ = 49111877993472. Its totient is φ = 3502257131520.

The previous prime is 14295674228149. The next prime is 14295674228161. The reversal of 14295674228160 is 6182247659241.

It is a self number, because there is not a number n which added to its sum of digits gives 14295674228160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14295674228161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81144 + ... + 5347703.

It is an arithmetic number, because the mean of its divisors is an integer number (219249455328).

Almost surely, 2^{14295674228160} is an apocalyptic number.

14295674228160 is a gapful number since it is divisible by the number (10) 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 14295674228160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24555938996736).

14295674228160 is an abundant number, since it is smaller than the sum of its proper divisors (34816203765312).

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

14295674228160 is a wasteful number, since it uses less digits than its factorization.

14295674228160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429091 (or 5429081 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 14295674228160 in words is "fourteen trillion, two hundred ninety-five billion, six hundred seventy-four million, two hundred twenty-eight thousand, one hundred sixty".