197593227721344 has 3072 divisors, whose sum is σ = 744699930624000. Its totient is φ = 46123127930880.

The previous prime is 197593227721333. The next prime is 197593227721349. The reversal of 197593227721344 is 443127722395791.

It is not an unprimeable number, because it can be changed into a prime (197593227721349) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 635347998949 + ... + 635347999259.

It is an arithmetic number, because the mean of its divisors is an integer number (242415342000).

Almost surely, 2^{197593227721344} is an apocalyptic number.

197593227721344 is a gapful number since it is divisible by the number (14) 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 197593227721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372349965312000).

197593227721344 is an abundant number, since it is smaller than the sum of its proper divisors (547106702902656).

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

197593227721344 is a wasteful number, since it uses less digits than its factorization.

197593227721344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 449 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 66.

The spelling of 197593227721344 in words is "one hundred ninety-seven trillion, five hundred ninety-three billion, two hundred twenty-seven million, seven hundred twenty-one thousand, three hundred forty-four".