198357784416 has 240 divisors, whose sum is σ = 637709200128. Its totient is φ = 59984582400.

The previous prime is 198357784411. The next prime is 198357784423. The reversal of 198357784416 is 614487753891.

198357784416 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 577 + 8 + 44 + 16 = 666.

198357784416 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 2×198357784416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198357784411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14334621 + ... + 14348451.

Almost surely, 2^198357784416 is an apocalyptic number.

198357784416 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 198357784416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318854600064).

198357784416 is an abundant number, since it is smaller than the sum of its proper divisors (439351415712).

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

198357784416 is a wasteful number, since it uses less digits than its factorization.

198357784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14367 (or 14350 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

The spelling of 198357784416 in words is "one hundred ninety-eight billion, three hundred fifty-seven million, seven hundred eighty-four thousand, four hundred sixteen".