198943468416 has 1536 divisors, whose sum is σ = 803107200000. Its totient is φ = 48283361280.

The previous prime is 198943468403. The next prime is 198943468447. The reversal of 198943468416 is 614864349891.

198943468416 is a `hidden beast` number, since 1 + 98 + 9 + 43 + 468 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2725252956 + ... + 2725253028.

It is an arithmetic number, because the mean of its divisors is an integer number (522856250).

Almost surely, 2^198943468416 is an apocalyptic number.

198943468416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198943468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401553600000).

198943468416 is an abundant number, since it is smaller than the sum of its proper divisors (604163731584).

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

198943468416 is a wasteful number, since it uses less digits than its factorization.

198943468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 115 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 198943468416 in words is "one hundred ninety-eight billion, nine hundred forty-three million, four hundred sixty-eight thousand, four hundred sixteen".