191407418690049 has 15 divisors (see below), whose sum is σ = 285929786763313. Its totient is φ = 127604862783324.

The previous prime is 191407418689973. The next prime is 191407418690051. The reversal of 191407418690049 is 940096814704191.

The square root of 191407418690049 is 13835007.

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

191407418690049 is a `hidden beast` number, since 1 + 9 + 1 + 407 + 4 + 186 + 9 + 0 + 0 + 49 = 666.

It is not a de Polignac number, because 191407418690049 - 2⁹ = 191407418689537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (191407418695049) 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 14 ways as a sum of consecutive naturals, for example, 123746452 + ... + 125283674.

Almost surely, 2^{191407418690049} is an apocalyptic number.

191407418690049 is the 13835007-th square number.

191407418690049 is the 6917504-th centered octagonal number.

It is an amenable number.

191407418690049 is a deficient number, since it is larger than the sum of its proper divisors (94522368073264).

191407418690049 is an frugal number, since it uses more digits than its factorization.

191407418690049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074458 (or 1537226 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 191407418690049 in words is "one hundred ninety-one trillion, four hundred seven billion, four hundred eighteen million, six hundred ninety thousand, forty-nine".