199674488966400 has 864 divisors, whose sum is σ = 839896105708800. Its totient is φ = 45470144102400.

The previous prime is 199674488966363. The next prime is 199674488966401. The reversal of 199674488966400 is 4669884476991.

199674488966400 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 7 + 4 + 488 + 96 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 199674488966400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199674488966401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325075570 + ... + 325689230.

It is an arithmetic number, because the mean of its divisors is an integer number (972101974200).

Almost surely, 2^{199674488966400} is an apocalyptic number.

199674488966400 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 199674488966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419948052854400).

199674488966400 is an abundant number, since it is smaller than the sum of its proper divisors (640221616742400).

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

199674488966400 is a wasteful number, since it uses less digits than its factorization.

199674488966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613972 (or 613947 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 199674488966400 in words is "one hundred ninety-nine trillion, six hundred seventy-four billion, four hundred eighty-eight million, nine hundred sixty-six thousand, four hundred".