191820434247456 has 288 divisors, whose sum is σ = 594333776574720. Its totient is φ = 54002946945024.

The previous prime is 191820434247439. The next prime is 191820434247473. The reversal of 191820434247456 is 654742434028191.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (191820434247439) and next prime (191820434247473).

It is a self number, because there is not a number n which added to its sum of digits gives 191820434247456.

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 47 ways as a sum of consecutive naturals, for example, 356515470 + ... + 357053106.

It is an arithmetic number, because the mean of its divisors is an integer number (2063658946440).

It is a 1-persistent number, because it is pandigital, but 2⋅191820434247456 = 383640868494912 is not.

Almost surely, 2^{191820434247456} is an apocalyptic number.

191820434247456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191820434247456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297166888287360).

191820434247456 is an abundant number, since it is smaller than the sum of its proper divisors (402513342327264).

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

191820434247456 is a wasteful number, since it uses less digits than its factorization.

191820434247456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538776 (or 538761 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 191820434247456 in words is "one hundred ninety-one trillion, eight hundred twenty billion, four hundred thirty-four million, two hundred forty-seven thousand, four hundred fifty-six".