198641531088 has 640 divisors, whose sum is σ = 771790602240. Its totient is φ = 47238266880.

The previous prime is 198641531069. The next prime is 198641531089. The reversal of 198641531088 is 880135146891.

It is a happy number.

198641531088 is a `hidden beast` number, since 198 + 6 + 415 + 31 + 0 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198641531089) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54917056 + ... + 54920672.

It is an arithmetic number, because the mean of its divisors is an integer number (1205922816).

Almost surely, 2^198641531088 is an apocalyptic number.

198641531088 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 198641531088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385895301120).

198641531088 is an abundant number, since it is smaller than the sum of its proper divisors (573149071152).

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

198641531088 is a wasteful number, since it uses less digits than its factorization.

198641531088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 198641531088 in words is "one hundred ninety-eight billion, six hundred forty-one million, five hundred thirty-one thousand, eighty-eight".