199865123149824 has 384 divisors, whose sum is σ = 647198141990400. Its totient is φ = 60440735416320.

The previous prime is 199865123149819. The next prime is 199865123149837. The reversal of 199865123149824 is 428941321568991.

199865123149824 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 6 + 5 + 123 + 1 + 498 + 2 + 4 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295883314 + ... + 296558030.

It is an arithmetic number, because the mean of its divisors is an integer number (1685411828100).

Almost surely, 2^{199865123149824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199865123149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323599070995200).

199865123149824 is an abundant number, since it is smaller than the sum of its proper divisors (447333018840576).

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

199865123149824 is a wasteful number, since it uses less digits than its factorization.

199865123149824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675246 (or 675220 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 199865123149824 in words is "one hundred ninety-nine trillion, eight hundred sixty-five billion, one hundred twenty-three million, one hundred forty-nine thousand, eight hundred twenty-four".