197916938078256 has 720 divisors, whose sum is σ = 608288955318720. Its totient is φ = 59934723932160.

The previous prime is 197916938078243. The next prime is 197916938078263. The reversal of 197916938078256 is 652870839619791.

197916938078256 is a `hidden beast` number, since 1 + 9 + 7 + 9 + 169 + 380 + 78 + 2 + 5 + 6 = 666.

197916938078256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×197916938078256² (a number of 29 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 33246584976 + ... + 33246590928.

It is an arithmetic number, because the mean of its divisors is an integer number (844845771276).

Almost surely, 2^{197916938078256} is an apocalyptic number.

197916938078256 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 197916938078256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304144477659360).

197916938078256 is an abundant number, since it is smaller than the sum of its proper divisors (410372017240464).

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

197916938078256 is a wasteful number, since it uses less digits than its factorization.

197916938078256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 2469035520, while the sum is 81.

The spelling of 197916938078256 in words is "one hundred ninety-seven trillion, nine hundred sixteen billion, nine hundred thirty-eight million, seventy-eight thousand, two hundred fifty-six".