199344293929872 has 2880 divisors, whose sum is σ = 753596309606400. Its totient is φ = 49073452646400.

The previous prime is 199344293929849. The next prime is 199344293929943. The reversal of 199344293929872 is 278929392443991.

199344293929872 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 4 + 429 + 39 + 2 + 98 + 72 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 199344293929791 and 199344293929800.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1152279155578 + ... + 1152279155750.

It is an arithmetic number, because the mean of its divisors is an integer number (261665385280).

Almost surely, 2^{199344293929872} is an apocalyptic number.

199344293929872 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 199344293929872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376798154803200).

199344293929872 is an abundant number, since it is smaller than the sum of its proper divisors (554252015676528).

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

199344293929872 is a wasteful number, since it uses less digits than its factorization.

199344293929872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 363 counting only the distinct ones).

The product of its digits is 3809369088, while the sum is 81.

The spelling of 199344293929872 in words is "one hundred ninety-nine trillion, three hundred forty-four billion, two hundred ninety-three million, nine hundred twenty-nine thousand, eight hundred seventy-two".