199683126141184 has 243 divisors, whose sum is σ = 466356107575911. Its totient is φ = 85084013199360.

The previous prime is 199683126141139. The next prime is 199683126141199. The reversal of 199683126141184 is 481141621386991.

The square root of 199683126141184 is 14130928.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16511804694784 + 183171321446400 = 4063472^2 + 13534080^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 444728565792 + ... + 444728566240.

Almost surely, 2^{199683126141184} is an apocalyptic number.

199683126141184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

199683126141184 is the 14130928-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199683126141184

199683126141184 is an abundant number, since it is smaller than the sum of its proper divisors (266672981434727).

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

199683126141184 is an frugal number, since it uses more digits than its factorization.

199683126141184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 739 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 64.

199683126141184 divided by its sum of digits (64) gives a square (3120048845956 = 1766366²).

The spelling of 199683126141184 in words is "one hundred ninety-nine trillion, six hundred eighty-three billion, one hundred twenty-six million, one hundred forty-one thousand, one hundred eighty-four".