198171359211264 has 576 divisors, whose sum is σ = 567950745600000. Its totient is φ = 61229263011840.

The previous prime is 198171359211239. The next prime is 198171359211271. The reversal of 198171359211264 is 462112953171891.

It is a super-2 number, since 2×198171359211264² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198171359211198 and 198171359211207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14790004437 + ... + 14790017835.

It is an arithmetic number, because the mean of its divisors is an integer number (986025600000).

Almost surely, 2^{198171359211264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198171359211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283975372800000).

198171359211264 is an abundant number, since it is smaller than the sum of its proper divisors (369779386388736).

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

198171359211264 is a wasteful number, since it uses less digits than its factorization.

198171359211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13764 (or 13750 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 60.

The spelling of 198171359211264 in words is "one hundred ninety-eight trillion, one hundred seventy-one billion, three hundred fifty-nine million, two hundred eleven thousand, two hundred sixty-four".