198969756880896 has 429 divisors, whose sum is σ = 597491791892751. Its totient is φ = 66250128531456.

The previous prime is 198969756880859. The next prime is 198969756880901. The reversal of 198969756880896 is 698088657969891.

It is a happy number.

The square root of 198969756880896 is 14105664.

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

It is a super-2 number, since 2×198969756880896² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198969756880797 and 198969756880806.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 219371286075 + ... + 219371286981.

Almost surely, 2^{198969756880896} is an apocalyptic number.

198969756880896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198969756880896 is the 14105664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198969756880896

198969756880896 is an abundant number, since it is smaller than the sum of its proper divisors (398522035011855).

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

198969756880896 is an frugal number, since it uses more digits than its factorization.

198969756880896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 203166351360, while the sum is 99.

The spelling of 198969756880896 in words is "one hundred ninety-eight trillion, nine hundred sixty-nine billion, seven hundred fifty-six million, eight hundred eighty thousand, eight hundred ninety-six".