190881610000 has 225 divisors, whose sum is σ = 492845144539. Its totient is φ = 71581696000.

The previous prime is 190881609977. The next prime is 190881610033. The reversal of 190881610000 is 16188091.

The square root of 190881610000 is 436900.

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

It can be written as a sum of positive squares in 22 ways, for example, as 116862789904 + 74018820096 = 341852^2 + 272064^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 742729872 + ... + 742730128.

Almost surely, 2^190881610000 is an apocalyptic number.

190881610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

190881610000 is the 436900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190881610000

190881610000 is an abundant number, since it is smaller than the sum of its proper divisors (301963534539).

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

190881610000 is an frugal number, since it uses more digits than its factorization.

190881610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 34.

Adding to 190881610000 its reverse (16188091), we get a palindrome (190897798091).

The spelling of 190881610000 in words is "one hundred ninety billion, eight hundred eighty-one million, six hundred ten thousand".