189076409856 has 240 divisors, whose sum is σ = 577933259904. Its totient is φ = 59383222272.

The previous prime is 189076409849. The next prime is 189076409891. The reversal of 189076409856 is 658904670981.

189076409856 is a `hidden beast` number, since 1 + 89 + 0 + 76 + 409 + 85 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 189076409793 and 189076409802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7087615 + ... + 7114241.

Almost surely, 2^189076409856 is an apocalyptic number.

189076409856 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 189076409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288966629952).

189076409856 is an abundant number, since it is smaller than the sum of its proper divisors (388856850048).

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

189076409856 is a wasteful number, since it uses less digits than its factorization.

189076409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26741 (or 26722 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 189076409856 in words is "one hundred eighty-nine billion, seventy-six million, four hundred nine thousand, eight hundred fifty-six".