14327435100160 has 1152 divisors, whose sum is σ = 44770031437824. Its totient is φ = 4280706662400.

The previous prime is 14327435100151. The next prime is 14327435100227. The reversal of 14327435100160 is 6100153472341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 94883676085 + ... + 94883676235.

It is an arithmetic number, because the mean of its divisors is an integer number (38862874512).

Almost surely, 2^{14327435100160} is an apocalyptic number.

14327435100160 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 14327435100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22385015718912).

14327435100160 is an abundant number, since it is smaller than the sum of its proper divisors (30442596337664).

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

14327435100160 is an equidigital number, since it uses as much as digits as its factorization.

14327435100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 14327435100160 in words is "fourteen trillion, three hundred twenty-seven billion, four hundred thirty-five million, one hundred thousand, one hundred sixty".