198416863008 has 768 divisors, whose sum is σ = 742187335680. Its totient is φ = 50164531200.

The previous prime is 198416862983. The next prime is 198416863027. The reversal of 198416863008 is 800368614891.

198416863008 is a `hidden beast` number, since 198 + 416 + 8 + 6 + 30 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 309542368 + ... + 309543008.

It is an arithmetic number, because the mean of its divisors is an integer number (966389760).

Almost surely, 2^198416863008 is an apocalyptic number.

198416863008 is a gapful number since it is divisible by the number (18) 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 198416863008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371093667840).

198416863008 is an abundant number, since it is smaller than the sum of its proper divisors (543770472672).

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

198416863008 is a wasteful number, since it uses less digits than its factorization.

198416863008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 198416863008 in words is "one hundred ninety-eight billion, four hundred sixteen million, eight hundred sixty-three thousand, eight".