14270864194872 has 256 divisors, whose sum is σ = 40558662144000. Its totient is φ = 4648362660864.

The previous prime is 14270864194871. The next prime is 14270864194913. The reversal of 14270864194872 is 27849146807241.

14270864194872 is a `hidden beast` number, since 1 + 4 + 2 + 70 + 86 + 4 + 1 + 9 + 487 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14270864194871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 663966558 + ... + 663988050.

It is an arithmetic number, because the mean of its divisors is an integer number (158432274000).

Almost surely, 2^{14270864194872} is an apocalyptic number.

14270864194872 is a gapful number since it is divisible by the number (12) 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 14270864194872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20279331072000).

14270864194872 is an abundant number, since it is smaller than the sum of its proper divisors (26287797949128).

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

14270864194872 is a wasteful number, since it uses less digits than its factorization.

14270864194872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21987 (or 21977 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 14270864194872 in words is "fourteen trillion, two hundred seventy billion, eight hundred sixty-four million, one hundred ninety-four thousand, eight hundred seventy-two".