198965955136 has 63 divisors (see below), whose sum is σ = 427630007451. Its totient is φ = 91809030144.

The previous prime is 198965955037. The next prime is 198965955137. The reversal of 198965955136 is 631559569891.

The square root of 198965955136 is 446056.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4435560000 + 194530395136 = 66600^2 + 441056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (198965955137) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 46387680 + ... + 46391968.

Almost surely, 2^198965955136 is an apocalyptic number.

198965955136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198965955136 is the 446056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198965955136

198965955136 is an abundant number, since it is smaller than the sum of its proper divisors (228664052315).

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

198965955136 is an frugal number, since it uses more digits than its factorization.

198965955136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616 (or 4304 counting only the distinct ones).

The product of its digits is 78732000, while the sum is 67.

The spelling of 198965955136 in words is "one hundred ninety-eight billion, nine hundred sixty-five million, nine hundred fifty-five thousand, one hundred thirty-six".