14206570970112 has 264 divisors, whose sum is σ = 41536254090240. Its totient is φ = 4676119142400.

The previous prime is 14206570970051. The next prime is 14206570970113. The reversal of 14206570970112 is 21107907560241.

14206570970112 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 6 + 570 + 9 + 70 + 1 + 1 + 2 = 666.

It is a super-3 number, since 3×14206570970112³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14206570970113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2202224487 + ... + 2202230937.

Almost surely, 2^{14206570970112} is an apocalyptic number.

14206570970112 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 14206570970112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20768127045120).

14206570970112 is an abundant number, since it is smaller than the sum of its proper divisors (27329683120128).

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

14206570970112 is a wasteful number, since it uses less digits than its factorization.

14206570970112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9439 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 14206570970112 in words is "fourteen trillion, two hundred six billion, five hundred seventy million, nine hundred seventy thousand, one hundred twelve".