191384375625 has 135 divisors (see below), whose sum is σ = 365774181201. Its totient is φ = 96384492000.

The previous prime is 191384375617. The next prime is 191384375629. The reversal of 191384375625 is 526573483191.

It is a happy number.

The square root of 191384375625 is 437475.

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

191384375625 is a `hidden beast` number, since 1 + 9 + 1 + 3 + 8 + 4 + 3 + 7 + 5 + 625 = 666.

191384375625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 15004535049 + 176379840576 = 122493^2 + 419976^2 .

It is not a de Polignac number, because 191384375625 - 2³ = 191384375617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (191384375629) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 623401722 + ... + 623402028.

Almost surely, 2^191384375625 is an apocalyptic number.

191384375625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

191384375625 is the 437475-th square number.

191384375625 is the 218738-th centered octagonal number.

It is an amenable number.

191384375625 is a deficient number, since it is larger than the sum of its proper divisors (174389805576).

191384375625 is an frugal number, since it uses more digits than its factorization.

191384375625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 334 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

It can be divided in two parts, 191384 and 375625, that added together give a square (567009 = 753²).

The spelling of 191384375625 in words is "one hundred ninety-one billion, three hundred eighty-four million, three hundred seventy-five thousand, six hundred twenty-five".