198693121536 has 1080 divisors, whose sum is σ = 745768767744. Its totient is φ = 50721914880.

The previous prime is 198693121439. The next prime is 198693121591. The reversal of 198693121536 is 635121396891.

198693121536 is a `hidden beast` number, since 1 + 9 + 8 + 6 + 93 + 12 + 1 + 536 = 666.

198693121536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×198693121536³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1564512705 + ... + 1564512831.

Almost surely, 2^198693121536 is an apocalyptic number.

198693121536 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 198693121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372884383872).

198693121536 is an abundant number, since it is smaller than the sum of its proper divisors (547075646208).

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

198693121536 is a wasteful number, since it uses less digits than its factorization.

198693121536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 193 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The spelling of 198693121536 in words is "one hundred ninety-eight billion, six hundred ninety-three million, one hundred twenty-one thousand, five hundred thirty-six".