198394634880 has 640 divisors, whose sum is σ = 807932497680. Its totient is φ = 45960265728.

The previous prime is 198394634869. The next prime is 198394634887. The reversal of 198394634880 is 88436493891.

198394634880 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 94 + 63 + 488 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 114076413504 + 84318221376 = 337752^2 + 290376^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×198394634880² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (198394634887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11447982 + ... + 11465298.

Almost surely, 2^198394634880 is an apocalyptic number.

198394634880 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 198394634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403966248840).

198394634880 is an abundant number, since it is smaller than the sum of its proper divisors (609537862800).

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

198394634880 is a wasteful number, since it uses less digits than its factorization.

198394634880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17378 (or 17357 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 198394634880 in words is "one hundred ninety-eight billion, three hundred ninety-four million, six hundred thirty-four thousand, eight hundred eighty".