197851361297616 has 1280 divisors, whose sum is σ = 667515176294400. Its totient is φ = 56260955013120.

The previous prime is 197851361297543. The next prime is 197851361297617. The reversal of 197851361297616 is 616792163158791.

197851361297616 is a `hidden beast` number, since 1 + 9 + 7 + 8 + 513 + 6 + 1 + 2 + 97 + 6 + 16 = 666.

It is a super-2 number, since 2×197851361297616² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197851361297617) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108056449821 + ... + 108056451651.

It is an arithmetic number, because the mean of its divisors is an integer number (521496231480).

Almost surely, 2^{197851361297616} is an apocalyptic number.

197851361297616 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 197851361297616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333757588147200).

197851361297616 is an abundant number, since it is smaller than the sum of its proper divisors (469663814996784).

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

197851361297616 is a wasteful number, since it uses less digits than its factorization.

197851361297616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2112 counting only the distinct ones).

The product of its digits is 205752960, while the sum is 72.

The spelling of 197851361297616 in words is "one hundred ninety-seven trillion, eight hundred fifty-one billion, three hundred sixty-one million, two hundred ninety-seven thousand, six hundred sixteen".