199484052625152 has 864 divisors, whose sum is σ = 617416189737984. Its totient is φ = 64202139648000.

The previous prime is 199484052625129. The next prime is 199484052625153. The reversal of 199484052625152 is 251526250484991.

It is a happy number.

199484052625152 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 8 + 4 + 0 + 52 + 62 + 515 + 2 = 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 199484052625152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199484052625153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93610535127 + ... + 93610537257.

It is an arithmetic number, because the mean of its divisors is an integer number (714602071456).

Almost surely, 2^{199484052625152} is an apocalyptic number.

199484052625152 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 199484052625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308708094868992).

199484052625152 is an abundant number, since it is smaller than the sum of its proper divisors (417932137112832).

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

199484052625152 is a wasteful number, since it uses less digits than its factorization.

199484052625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 199484052625152 in words is "one hundred ninety-nine trillion, four hundred eighty-four billion, fifty-two million, six hundred twenty-five thousand, one hundred fifty-two".