198287714176416 has 288 divisors, whose sum is σ = 629177281544448. Its totient is φ = 58914074419200.

The previous prime is 198287714176351. The next prime is 198287714176421. The reversal of 198287714176416 is 614671417782891.

198287714176416 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 87 + 71 + 417 + 64 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2656245 + ... + 20090571.

It is an arithmetic number, because the mean of its divisors is an integer number (2184643338696).

Almost surely, 2^{198287714176416} is an apocalyptic number.

198287714176416 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 198287714176416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314588640772224).

198287714176416 is an abundant number, since it is smaller than the sum of its proper divisors (430889567368032).

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

198287714176416 is a wasteful number, since it uses less digits than its factorization.

198287714176416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17434484 (or 17434473 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 72.

The spelling of 198287714176416 in words is "one hundred ninety-eight trillion, two hundred eighty-seven billion, seven hundred fourteen million, one hundred seventy-six thousand, four hundred sixteen".