197713548000 has 768 divisors, whose sum is σ = 739232282880. Its totient is φ = 51956121600.

The previous prime is 197713547947. The next prime is 197713548001. The reversal of 197713548000 is 845317791.

197713548000 is a `hidden beast` number, since 1 + 97 + 7 + 13 + 548 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197713548001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 848555884 + ... + 848556116.

It is an arithmetic number, because the mean of its divisors is an integer number (962542035).

Almost surely, 2^197713548000 is an apocalyptic number.

197713548000 is a gapful number since it is divisible by the number (10) 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 197713548000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369616141440).

197713548000 is an abundant number, since it is smaller than the sum of its proper divisors (541518734880).

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

197713548000 is an frugal number, since it uses more digits than its factorization.

197713548000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 197713548000 in words is "one hundred ninety-seven billion, seven hundred thirteen million, five hundred forty-eight thousand".