191256065975296 has 297 divisors, whose sum is σ = 449720583414921. Its totient is φ = 81060110401536.

The previous prime is 191256065975269. The next prime is 191256065975347. The reversal of 191256065975296 is 692579560652191.

The square root of 191256065975296 is 13829536.

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

It can be written as a sum of positive squares in only one way, i.e., 189932498560000 + 1323567415296 = 13781600^2 + 1150464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 331466318560 + ... + 331466319136.

Almost surely, 2^{191256065975296} is an apocalyptic number.

191256065975296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

191256065975296 is the 13829536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191256065975296

191256065975296 is an abundant number, since it is smaller than the sum of its proper divisors (258464517439625).

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

191256065975296 is an frugal number, since it uses more digits than its factorization.

191256065975296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 551124000, while the sum is 73.

The spelling of 191256065975296 in words is "one hundred ninety-one trillion, two hundred fifty-six billion, sixty-five million, nine hundred seventy-five thousand, two hundred ninety-six".