197231915664 has 405 divisors, whose sum is σ = 684286128201. Its totient is φ = 52866616320.

The previous prime is 197231915623. The next prime is 197231915687. The reversal of 197231915664 is 466519132791.

The square root of 197231915664 is 444108.

It is a perfect power (a square), and thus also a powerful number.

197231915664 is a `hidden beast` number, since 1 + 9 + 72 + 3 + 1 + 9 + 1 + 566 + 4 = 666.

197231915664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 153554259600 + 43677656064 = 391860^2 + 208992^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 197231915664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 634186069 + ... + 634186379.

Almost surely, 2^197231915664 is an apocalyptic number.

197231915664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

197231915664 is the 444108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197231915664

197231915664 is an abundant number, since it is smaller than the sum of its proper divisors (487054212537).

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

197231915664 is a wasteful number, since it uses less digits than its factorization.

197231915664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 340 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 197231915664 in words is "one hundred ninety-seven billion, two hundred thirty-one million, nine hundred fifteen thousand, six hundred sixty-four".