189071910976 has 189 divisors, whose sum is σ = 421275220821. Its totient is φ = 84154097664.

The previous prime is 189071910947. The next prime is 189071910977. The reversal of 189071910976 is 679019170981.

The square root of 189071910976 is 434824.

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

It can be written as a sum of positive squares in 13 ways, for example, as 181782849600 + 7289061376 = 426360^2 + 85376^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 189071910976.

It is not an unprimeable number, because it can be changed into a prime (189071910977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1673202696 + ... + 1673202808.

Almost surely, 2^189071910976 is an apocalyptic number.

189071910976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

189071910976 is the 434824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189071910976

189071910976 is an abundant number, since it is smaller than the sum of its proper divisors (232203309845).

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

189071910976 is an equidigital number, since it uses as much as digits as its factorization.

189071910976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 58.

The spelling of 189071910976 in words is "one hundred eighty-nine billion, seventy-one million, nine hundred ten thousand, nine hundred seventy-six".