197712377856 has 288 divisors, whose sum is σ = 686961475200. Its totient is φ = 53515468800.

The previous prime is 197712377831. The next prime is 197712377873. The reversal of 197712377856 is 658773217791.

197712377856 is a `hidden beast` number, since 197 + 71 + 2 + 377 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 197712377793 and 197712377802.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2411131 + ... + 2491781.

It is an arithmetic number, because the mean of its divisors is an integer number (2385282900).

Almost surely, 2^197712377856 is an apocalyptic number.

197712377856 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 197712377856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343480737600).

197712377856 is an abundant number, since it is smaller than the sum of its proper divisors (489249097344).

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

197712377856 is a wasteful number, since it uses less digits than its factorization.

197712377856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80705 (or 80682 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 63.

The spelling of 197712377856 in words is "one hundred ninety-seven billion, seven hundred twelve million, three hundred seventy-seven thousand, eight hundred fifty-six".