14198424670080 has 768 divisors, whose sum is σ = 57904562327040. Its totient is φ = 3138457190400.

The previous prime is 14198424670013. The next prime is 14198424670151. The reversal of 14198424670080 is 8007642489141.

14198424670080 is a `hidden beast` number, since 1 + 419 + 8 + 42 + 46 + 70 + 0 + 80 = 666.

It is a super-2 number, since 2×14198424670080² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14198424669999 and 14198424670026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175069219 + ... + 175150301.

It is an arithmetic number, because the mean of its divisors is an integer number (75396565530).

Almost surely, 2^{14198424670080} is an apocalyptic number.

14198424670080 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 14198424670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28952281163520).

14198424670080 is an abundant number, since it is smaller than the sum of its proper divisors (43706137656960).

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

14198424670080 is a wasteful number, since it uses less digits than its factorization.

14198424670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81259 (or 81244 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 14198424670080 in words is "fourteen trillion, one hundred ninety-eight billion, four hundred twenty-four million, six hundred seventy thousand, eighty".