199634812739712 has 384 divisors, whose sum is σ = 696313094181120. Its totient is φ = 53664176332800.

The previous prime is 199634812739683. The next prime is 199634812739749. The reversal of 199634812739712 is 217937218436991.

199634812739712 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 3 + 481 + 2 + 73 + 9 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2491162 + ... + 20136422.

It is an arithmetic number, because the mean of its divisors is an integer number (1813315349430).

Almost surely, 2^{199634812739712} is an apocalyptic number.

199634812739712 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 199634812739712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348156547090560).

199634812739712 is an abundant number, since it is smaller than the sum of its proper divisors (496678281441408).

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

199634812739712 is a wasteful number, since it uses less digits than its factorization.

199634812739712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17645372 (or 17645357 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 72.

The spelling of 199634812739712 in words is "one hundred ninety-nine trillion, six hundred thirty-four billion, eight hundred twelve million, seven hundred thirty-nine thousand, seven hundred twelve".