198134436864 has 792 divisors, whose sum is σ = 706066633440. Its totient is φ = 48826810368.

The previous prime is 198134436847. The next prime is 198134436887. The reversal of 198134436864 is 468634431891.

It is a super-3 number, since 3×198134436864³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2714170332 + ... + 2714170404.

Almost surely, 2^198134436864 is an apocalyptic number.

198134436864 is a gapful number since it is divisible by the number (14) 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 198134436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353033316720).

198134436864 is an abundant number, since it is smaller than the sum of its proper divisors (507932196576).

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

198134436864 is a wasteful number, since it uses less digits than its factorization.

198134436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 117 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The spelling of 198134436864 in words is "one hundred ninety-eight billion, one hundred thirty-four million, four hundred thirty-six thousand, eight hundred sixty-four".