199835701381008 has 480 divisors, whose sum is σ = 728089171310592. Its totient is φ = 49613738803200.

The previous prime is 199835701380941. The next prime is 199835701381049. The reversal of 199835701381008 is 800183107538991.

199835701381008 is a `hidden beast` number, since 19 + 9 + 8 + 3 + 570 + 1 + 38 + 10 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363644688 + ... + 364193808.

Almost surely, 2^{199835701381008} is an apocalyptic number.

199835701381008 is a gapful number since it is divisible by the number (18) 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 199835701381008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364044585655296).

199835701381008 is an abundant number, since it is smaller than the sum of its proper divisors (528253469929584).

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

199835701381008 is a wasteful number, since it uses less digits than its factorization.

199835701381008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550603 (or 550594 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 199835701381008 in words is "one hundred ninety-nine trillion, eight hundred thirty-five billion, seven hundred one million, three hundred eighty-one thousand, eight".