198180563631768 has 192 divisors, whose sum is σ = 543186540449280. Its totient is φ = 65269747123200.

The previous prime is 198180563631751. The next prime is 198180563631821. The reversal of 198180563631768 is 867136365081891.

198180563631768 is a `hidden beast` number, since 1 + 9 + 81 + 80 + 56 + 363 + 1 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 198180563631696 and 198180563631705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5912114848 + ... + 5912148368.

It is an arithmetic number, because the mean of its divisors is an integer number (2829096564840).

Almost surely, 2^{198180563631768} is an apocalyptic number.

198180563631768 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 198180563631768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271593270224640).

198180563631768 is an abundant number, since it is smaller than the sum of its proper divisors (345005976817512).

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

198180563631768 is a wasteful number, since it uses less digits than its factorization.

198180563631768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35430 (or 35423 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 198180563631768 in words is "one hundred ninety-eight trillion, one hundred eighty billion, five hundred sixty-three million, six hundred thirty-one thousand, seven hundred sixty-eight".