189706226108256 has 1920 divisors, whose sum is σ = 708106787942400. Its totient is φ = 48956506583040.

The previous prime is 189706226108233. The next prime is 189706226108317. The reversal of 189706226108256 is 652801622607981.

189706226108256 is a `hidden beast` number, since 1 + 8 + 9 + 7 + 0 + 6 + 2 + 2 + 610 + 8 + 2 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 189706226108193 and 189706226108202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 132940592215 + ... + 132940593641.

It is an arithmetic number, because the mean of its divisors is an integer number (368805618720).

Almost surely, 2^{189706226108256} is an apocalyptic number.

189706226108256 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 189706226108256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354053393971200).

189706226108256 is an abundant number, since it is smaller than the sum of its proper divisors (518400561834144).

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

189706226108256 is a wasteful number, since it uses less digits than its factorization.

189706226108256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 189706226108256 in words is "one hundred eighty-nine trillion, seven hundred six billion, two hundred twenty-six million, one hundred eight thousand, two hundred fifty-six".