198816016734720 has 7200 divisors, whose sum is σ = 972932003366400. Its totient is φ = 38577639260160.

The previous prime is 198816016734707. The next prime is 198816016734733. The reversal of 198816016734720 is 27437610618891.

198816016734720 is a `hidden beast` number, since 1 + 9 + 8 + 81 + 6 + 0 + 16 + 73 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (198816016734707) and next prime (198816016734733).

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

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 2233887828436 + ... + 2233887828524.

It is an arithmetic number, because the mean of its divisors is an integer number (135129444912).

Almost surely, 2^{198816016734720} is an apocalyptic number.

198816016734720 is a gapful number since it is divisible by the number (10) 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 198816016734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486466001683200).

198816016734720 is an abundant number, since it is smaller than the sum of its proper divisors (774115986631680).

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

198816016734720 is a wasteful number, since it uses less digits than its factorization.

198816016734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 198816016734720 in words is "one hundred ninety-eight trillion, eight hundred sixteen billion, sixteen million, seven hundred thirty-four thousand, seven hundred twenty".