189516108644352 has 1440 divisors, whose sum is σ = 680190928994304. Its totient is φ = 51554805350400.

The previous prime is 189516108644323. The next prime is 189516108644431. The reversal of 189516108644352 is 253446801615981.

It is a happy number.

189516108644352 is a `hidden beast` number, since 1 + 8 + 9 + 5 + 1 + 61 + 0 + 86 + 443 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 189516108644352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173708623327 + ... + 173708624417.

Almost surely, 2^{189516108644352} is an apocalyptic number.

189516108644352 is a gapful number since it is divisible by the number (12) 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 189516108644352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340095464497152).

189516108644352 is an abundant number, since it is smaller than the sum of its proper divisors (490674820349952).

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

189516108644352 is an equidigital number, since it uses as much as digits as its factorization.

189516108644352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 189516108644352 in words is "one hundred eighty-nine trillion, five hundred sixteen billion, one hundred eight million, six hundred forty-four thousand, three hundred fifty-two".