189851663934576 has 1680 divisors, whose sum is σ = 693875057154048. Its totient is φ = 49210957209600.

The previous prime is 189851663934571. The next prime is 189851663934629. The reversal of 189851663934576 is 675439366158981.

189851663934576 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 5 + 1 + 6 + 6 + 3 + 9 + 34 + 576 = 666.

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 = 189851663934495 and 189851663934504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189851663934571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 337214322871 + ... + 337214323433.

Almost surely, 2^{189851663934576} is an apocalyptic number.

189851663934576 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 189851663934576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346937528577024).

189851663934576 is an abundant number, since it is smaller than the sum of its proper divisors (504023393219472).

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

189851663934576 is a wasteful number, since it uses less digits than its factorization.

189851663934576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1084 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 189851663934576 in words is "one hundred eighty-nine trillion, eight hundred fifty-one billion, six hundred sixty-three million, nine hundred thirty-four thousand, five hundred seventy-six".