199061166825 has 36 divisors (see below), whose sum is σ = 364126658688. Its totient is φ = 103907100000.

The previous prime is 199061166803. The next prime is 199061166839. The reversal of 199061166825 is 528661160991.

199061166825 is a `hidden beast` number, since 19 + 9 + 0 + 611 + 6 + 6 + 8 + 2 + 5 = 666.

It is not a de Polignac number, because 199061166825 - 2⁵ = 199061166793 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9401301 + ... + 9422450.

It is an arithmetic number, because the mean of its divisors is an integer number (10114629408).

Almost surely, 2^199061166825 is an apocalyptic number.

199061166825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199061166825 is a deficient number, since it is larger than the sum of its proper divisors (165065491863).

199061166825 is a wasteful number, since it uses less digits than its factorization.

199061166825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18823814 (or 18823806 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 199061166825 in words is "one hundred ninety-nine billion, sixty-one million, one hundred sixty-six thousand, eight hundred twenty-five".