191945629456 has 45 divisors (see below), whose sum is σ = 432639802119. Its totient is φ = 82257155232.

The previous prime is 191945629433. The next prime is 191945629501. The reversal of 191945629456 is 654926549191.

The square root of 191945629456 is 438116.

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

191945629456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 191945629394 and 191945629403.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 12259425 + ... + 12275071.

Almost surely, 2^191945629456 is an apocalyptic number.

191945629456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

191945629456 is the 438116-th square number.

It is an amenable number.

191945629456 is an abundant number, since it is smaller than the sum of its proper divisors (240694172663).

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

191945629456 is an frugal number, since it uses more digits than its factorization.

191945629456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31316 (or 15656 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 61.

The spelling of 191945629456 in words is "one hundred ninety-one billion, nine hundred forty-five million, six hundred twenty-nine thousand, four hundred fifty-six".