198002421216 has 480 divisors, whose sum is σ = 658363749120. Its totient is φ = 58002739200.

The previous prime is 198002421179. The next prime is 198002421223. The reversal of 198002421216 is 612124200891.

198002421216 is a `hidden beast` number, since 19 + 8 + 0 + 0 + 2 + 421 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59440671 + ... + 59444001.

It is an arithmetic number, because the mean of its divisors is an integer number (1371591144).

Almost surely, 2^198002421216 is an apocalyptic number.

198002421216 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 198002421216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329181874560).

198002421216 is an abundant number, since it is smaller than the sum of its proper divisors (460361327904).

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

198002421216 is a wasteful number, since it uses less digits than its factorization.

198002421216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 198002421216 in words is "one hundred ninety-eight billion, two million, four hundred twenty-one thousand, two hundred sixteen".