14070200196416 has 252 divisors, whose sum is σ = 35191288674432. Its totient is φ = 5562797700096.

The previous prime is 14070200196373. The next prime is 14070200196433. The reversal of 14070200196416 is 61469100207041.

14070200196416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 966153551 + ... + 966168113.

Almost surely, 2^{14070200196416} is an apocalyptic number.

14070200196416 is a gapful number since it is divisible by the number (16) 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 14070200196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595644337216).

14070200196416 is an abundant number, since it is smaller than the sum of its proper divisors (21121088478016).

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

14070200196416 is a wasteful number, since it uses less digits than its factorization.

14070200196416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16438 (or 16408 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The spelling of 14070200196416 in words is "fourteen trillion, seventy billion, two hundred million, one hundred ninety-six thousand, four hundred sixteen".