199079416369152 has 208 divisors, whose sum is σ = 643410475632960. Its totient is φ = 60327095500800.

The previous prime is 199079416369117. The next prime is 199079416369219. The reversal of 199079416369152 is 251963614970991.

199079416369152 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 79 + 41 + 6 + 369 + 152 = 666.

It is a super-2 number, since 2×199079416369152² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 80607349 + ... + 83040372.

Almost surely, 2^{199079416369152} is an apocalyptic number.

199079416369152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199079416369152 is an abundant number, since it is smaller than the sum of its proper divisors (444331059263808).

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

199079416369152 is a wasteful number, since it uses less digits than its factorization.

199079416369152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163647765 (or 163647737 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 199079416369152 in words is "one hundred ninety-nine trillion, seventy-nine billion, four hundred sixteen million, three hundred sixty-nine thousand, one hundred fifty-two".