189559916741776 has 135 divisors (see below), whose sum is σ = 446639131053171. Its totient is φ = 77704157184192.

The previous prime is 189559916741759. The next prime is 189559916741791. The reversal of 189559916741776 is 677147619955981.

The square root of 189559916741776 is 13768076.

It is a perfect power (a square), and thus also a powerful number.

It is a junction number, because it is equal to n+sod(n) for n = 189559916741693 and 189559916741702.

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 26 ways as a sum of consecutive naturals, for example, 8866630255 + ... + 8866651633.

Almost surely, 2^{189559916741776} is an apocalyptic number.

189559916741776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

189559916741776 is the 13768076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189559916741776

189559916741776 is an abundant number, since it is smaller than the sum of its proper divisors (257079214311395).

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

189559916741776 is an frugal number, since it uses more digits than its factorization.

189559916741776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42826 (or 21411 counting only the distinct ones).

The product of its digits is 7201353600, while the sum is 85.

The spelling of 189559916741776 in words is "one hundred eighty-nine trillion, five hundred fifty-nine billion, nine hundred sixteen million, seven hundred forty-one thousand, seven hundred seventy-six".