199883567961 has 192 divisors, whose sum is σ = 380989440000. Its totient is φ = 100001865600.

The previous prime is 199883567959. The next prime is 199883567987. The reversal of 199883567961 is 169765388991.

199883567961 is a `hidden beast` number, since 199 + 88 + 356 + 7 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 199883567961 - 2¹ = 199883567959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 199883567961.

It is not an unprimeable number, because it can be changed into a prime (199883567911) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 333695140 + ... + 333695738.

It is an arithmetic number, because the mean of its divisors is an integer number (1984320000).

Almost surely, 2^199883567961 is an apocalyptic number.

199883567961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

199883567961 is a deficient number, since it is larger than the sum of its proper divisors (181105872039).

199883567961 is a wasteful number, since it uses less digits than its factorization.

199883567961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 968 counting only the distinct ones).

The product of its digits is 176359680, while the sum is 72.

The spelling of 199883567961 in words is "one hundred ninety-nine billion, eight hundred eighty-three million, five hundred sixty-seven thousand, nine hundred sixty-one".