198165629088 has 864 divisors, whose sum is σ = 739518474240. Its totient is φ = 51849745920.

The previous prime is 198165629071. The next prime is 198165629111. The reversal of 198165629088 is 880926561891.

198165629088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224422695 + ... + 224423577.

It is an arithmetic number, because the mean of its divisors is an integer number (855924160).

Almost surely, 2^198165629088 is an apocalyptic number.

198165629088 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 198165629088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369759237120).

198165629088 is an abundant number, since it is smaller than the sum of its proper divisors (541352845152).

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

198165629088 is a wasteful number, since it uses less digits than its factorization.

198165629088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 198165629088 in words is "one hundred ninety-eight billion, one hundred sixty-five million, six hundred twenty-nine thousand, eighty-eight".