199141646745600 has 4320 divisors, whose sum is σ = 869990084570880. Its totient is φ = 43051678433280.

The previous prime is 199141646745533. The next prime is 199141646745641. The reversal of 199141646745600 is 6547646141991.

199141646745600 is a `hidden beast` number, since 1 + 9 + 9 + 1 + 4 + 1 + 6 + 4 + 67 + 4 + 560 + 0 = 666.

It is a super-2 number, since 2×199141646745600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 774870220672 + ... + 774870220928.

Almost surely, 2^{199141646745600} is an apocalyptic number.

199141646745600 is a gapful number since it is divisible by the number (10) 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 199141646745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434995042285440).

199141646745600 is an abundant number, since it is smaller than the sum of its proper divisors (670848437825280).

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

199141646745600 is a wasteful number, since it uses less digits than its factorization.

199141646745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 199141646745600 in words is "one hundred ninety-nine trillion, one hundred forty-one billion, six hundred forty-six million, seven hundred forty-five thousand, six hundred".