198029869056 has 288 divisors, whose sum is σ = 594987152760. Its totient is φ = 63417876480.

The previous prime is 198029869049. The next prime is 198029869097. The reversal of 198029869056 is 650968920891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×198029869056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 198029868984 and 198029869002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3246391266 + ... + 3246391326.

Almost surely, 2^198029869056 is an apocalyptic number.

198029869056 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 198029869056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297493576380).

198029869056 is an abundant number, since it is smaller than the sum of its proper divisors (396957283704).

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

198029869056 is an frugal number, since it uses more digits than its factorization.

198029869056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 198029869056 in words is "one hundred ninety-eight billion, twenty-nine million, eight hundred sixty-nine thousand, fifty-six".