199161360468 has 144 divisors (see below), whose sum is σ = 596931905024. Its totient is φ = 56877746400.

The previous prime is 199161360467. The next prime is 199161360469. The reversal of 199161360468 is 864063161991.

It is a happy number.

199161360468 is a `hidden beast` number, since 1 + 9 + 9 + 16 + 13 + 604 + 6 + 8 = 666.

199161360468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199161360467) and next prime (199161360469).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199161360467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19393071 + ... + 19403337.

Almost surely, 2^199161360468 is an apocalyptic number.

199161360468 is a gapful number since it is divisible by the number (18) 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 199161360468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298465952512).

199161360468 is an abundant number, since it is smaller than the sum of its proper divisors (397770544556).

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

199161360468 is a wasteful number, since it uses less digits than its factorization.

199161360468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13144 (or 13130 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 199161360468 in words is "one hundred ninety-nine billion, one hundred sixty-one million, three hundred sixty thousand, four hundred sixty-eight".