199868655521376 has 192 divisors, whose sum is σ = 599821718328000. Its totient is φ = 65530705328640.

The previous prime is 199868655521323. The next prime is 199868655521387. The reversal of 199868655521376 is 673125556868991.

199868655521376 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 6 + 8 + 6 + 55 + 521 + 37 + 6 = 666.

199868655521376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×199868655521376³ (a number of 44 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (81) 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 (81).

It is a junction number, because it is equal to n+sod(n) for n = 199868655521295 and 199868655521304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19140151 + ... + 27678198.

It is an arithmetic number, because the mean of its divisors is an integer number (3124071449625).

Almost surely, 2^{199868655521376} is an apocalyptic number.

199868655521376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

199868655521376 is an abundant number, since it is smaller than the sum of its proper divisors (399953062806624).

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

199868655521376 is an frugal number, since it uses more digits than its factorization.

199868655521376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46818441 (or 46818415 counting only the distinct ones).

The product of its digits is 5878656000, while the sum is 81.

The spelling of 199868655521376 in words is "one hundred ninety-nine trillion, eight hundred sixty-eight billion, six hundred fifty-five million, five hundred twenty-one thousand, three hundred seventy-six".