199931666177376 has 768 divisors, whose sum is σ = 722266650040320. Its totient is φ = 52497181900800.

The previous prime is 199931666177351. The next prime is 199931666177413. The reversal of 199931666177376 is 673771666139991.

199931666177376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×199931666177376² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 199931666177295 and 199931666177304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27857271900 + ... + 27857279076.

It is an arithmetic number, because the mean of its divisors is an integer number (940451367240).

Almost surely, 2^{199931666177376} is an apocalyptic number.

199931666177376 is a gapful number since it is divisible by the number (16) 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 199931666177376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361133325020160).

199931666177376 is an abundant number, since it is smaller than the sum of its proper divisors (522334983862944).

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

199931666177376 is a wasteful number, since it uses less digits than its factorization.

199931666177376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13564 (or 13550 counting only the distinct ones).

The product of its digits is 2916548208, while the sum is 81.

The spelling of 199931666177376 in words is "one hundred ninety-nine trillion, nine hundred thirty-one billion, six hundred sixty-six million, one hundred seventy-seven thousand, three hundred seventy-six".