199946913007216 has 80 divisors (see below), whose sum is σ = 407216850739200. Its totient is φ = 94925067874560.

The previous prime is 199946913007213. The next prime is 199946913007273. The reversal of 199946913007216 is 612700319649991.

199946913007216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199946913007216² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199946913007213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26377510 + ... + 33100858.

It is an arithmetic number, because the mean of its divisors is an integer number (5090210634240).

Almost surely, 2^{199946913007216} is an apocalyptic number.

199946913007216 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 199946913007216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203608425369600).

199946913007216 is an abundant number, since it is smaller than the sum of its proper divisors (207269937731984).

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

199946913007216 is a wasteful number, since it uses less digits than its factorization.

199946913007216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723974 (or 6723968 counting only the distinct ones).

The product of its (nonzero) digits is 39680928, while the sum is 67.

The spelling of 199946913007216 in words is "one hundred ninety-nine trillion, nine hundred forty-six billion, nine hundred thirteen million, seven thousand, two hundred sixteen".