199537113312 has 288 divisors, whose sum is σ = 614994412032. Its totient is φ = 63578317824.

The previous prime is 199537113253. The next prime is 199537113319. The reversal of 199537113312 is 213311735991.

199537113312 is a `hidden beast` number, since 1 + 99 + 537 + 1 + 13 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199537113319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15708948 + ... + 15721644.

It is an arithmetic number, because the mean of its divisors is an integer number (2135397264).

Almost surely, 2^199537113312 is an apocalyptic number.

199537113312 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 199537113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307497206016).

199537113312 is an abundant number, since it is smaller than the sum of its proper divisors (415457298720).

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

199537113312 is a wasteful number, since it uses less digits than its factorization.

199537113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12812 (or 12792 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The spelling of 199537113312 in words is "one hundred ninety-nine billion, five hundred thirty-seven million, one hundred thirteen thousand, three hundred twelve".