197783341056 has 768 divisors, whose sum is σ = 706483814400. Its totient is φ = 53482291200.

The previous prime is 197783341039. The next prime is 197783341079. The reversal of 197783341056 is 650143387791.

197783341056 is a `hidden beast` number, since 197 + 7 + 8 + 33 + 410 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 197783340993 and 197783341011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 635959141 + ... + 635959451.

It is an arithmetic number, because the mean of its divisors is an integer number (919900800).

Almost surely, 2^197783341056 is an apocalyptic number.

197783341056 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 197783341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353241907200).

197783341056 is an abundant number, since it is smaller than the sum of its proper divisors (508700473344).

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

197783341056 is a wasteful number, since it uses less digits than its factorization.

197783341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 197783341056 in words is "one hundred ninety-seven billion, seven hundred eighty-three million, three hundred forty-one thousand, fifty-six".