191849508450625 has 45 divisors (see below), whose sum is σ = 241924812699999. Its totient is φ = 152090353968000.

The previous prime is 191849508450623. The next prime is 191849508450637. The reversal of 191849508450625 is 526054805948191.

The square root of 191849508450625 is 13850975.

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

191849508450625 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 7 ways, for example, as 187527799658241 + 4321708792384 = 13694079^2 + 2078872^2 .

It is not a de Polignac number, because 191849508450625 - 2¹ = 191849508450623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191849508450623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39129001924 + ... + 39129006826.

Almost surely, 2^{191849508450625} is an apocalyptic number.

191849508450625 is the 13850975-th square number.

191849508450625 is the 6925488-th centered octagonal number.

It is an amenable number.

191849508450625 is a deficient number, since it is larger than the sum of its proper divisors (50075304249374).

191849508450625 is an frugal number, since it uses more digits than its factorization.

191849508450625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10052 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 67.

The spelling of 191849508450625 in words is "one hundred ninety-one trillion, eight hundred forty-nine billion, five hundred eight million, four hundred fifty thousand, six hundred twenty-five".