198517053593664 has 315 divisors, whose sum is σ = 637257794621943. Its totient is φ = 61078112529408.

The previous prime is 198517053593657. The next prime is 198517053593743. The reversal of 198517053593664 is 466395350715891.

The square root of 198517053593664 is 14089608.

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

198517053593664 is a `hidden beast` number, since 1 + 9 + 8 + 51 + 7 + 0 + 535 + 9 + 36 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6537185331264 + 191979868262400 = 2556792^2 + 13855680^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 198517053593592 and 198517053593601.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13187865562 + ... + 13187880614.

Almost surely, 2^{198517053593664} is an apocalyptic number.

198517053593664 is the 14089608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198517053593664

198517053593664 is an abundant number, since it is smaller than the sum of its proper divisors (438740741028279).

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

198517053593664 is an frugal number, since it uses more digits than its factorization.

198517053593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30156 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 734832000, while the sum is 72.

The spelling of 198517053593664 in words is "one hundred ninety-eight trillion, five hundred seventeen billion, fifty-three million, five hundred ninety-three thousand, six hundred sixty-four".