198715199840416 has 192 divisors, whose sum is σ = 469034997645312. Its totient is φ = 81086518305792.

The previous prime is 198715199840363. The next prime is 198715199840429. The reversal of 198715199840416 is 614048991517891.

It is a super-3 number, since 3×198715199840416³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2807350561 + ... + 2807421343.

It is an arithmetic number, because the mean of its divisors is an integer number (2442890612736).

Almost surely, 2^{198715199840416} is an apocalyptic number.

198715199840416 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 198715199840416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234517498822656).

198715199840416 is an abundant number, since it is smaller than the sum of its proper divisors (270319797804896).

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

198715199840416 is a wasteful number, since it uses less digits than its factorization.

198715199840416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78091 (or 78083 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 73.

The spelling of 198715199840416 in words is "one hundred ninety-eight trillion, seven hundred fifteen billion, one hundred ninety-nine million, eight hundred forty thousand, four hundred sixteen".