197312721705792 has 1120 divisors, whose sum is σ = 773306464803840. Its totient is φ = 48161062010880.

The previous prime is 197312721705791. The next prime is 197312721705857. The reversal of 197312721705792 is 297507127213791.

197312721705792 is a `hidden beast` number, since 1 + 9 + 7 + 31 + 2 + 7 + 21 + 7 + 0 + 579 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197312721705791) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4471857043 + ... + 4471901165.

Almost surely, 2^{197312721705792} is an apocalyptic number.

197312721705792 is a gapful number since it is divisible by the number (12) 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 197312721705792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386653232401920).

197312721705792 is an abundant number, since it is smaller than the sum of its proper divisors (575993743098048).

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

197312721705792 is a wasteful number, since it uses less digits than its factorization.

197312721705792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44841 (or 44822 counting only the distinct ones).

The product of its (nonzero) digits is 23337720, while the sum is 63.

The spelling of 197312721705792 in words is "one hundred ninety-seven trillion, three hundred twelve billion, seven hundred twenty-one million, seven hundred five thousand, seven hundred ninety-two".