198272139075396 has 135 divisors (see below), whose sum is σ = 519840971849199. Its totient is φ = 65897663694192.

The previous prime is 198272139075377. The next prime is 198272139075407. The reversal of 198272139075396 is 693570931272891.

The square root of 198272139075396 is 14080914.

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

198272139075396 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 72 + 13 + 9 + 0 + 7 + 539 + 6 = 666.

198272139075396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×198272139075396² (a number of 29 digits) contains 22 as substring.

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, 106198252455 + ... + 106198254321.

Almost surely, 2^{198272139075396} is an apocalyptic number.

198272139075396 is the 14080914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198272139075396

198272139075396 is an abundant number, since it is smaller than the sum of its proper divisors (321568832773803).

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

198272139075396 is an frugal number, since it uses more digits than its factorization.

198272139075396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4588 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 198272139075396 in words is "one hundred ninety-eight trillion, two hundred seventy-two billion, one hundred thirty-nine million, seventy-five thousand, three hundred ninety-six".