198835884000 has 480 divisors, whose sum is σ = 785948619456. Its totient is φ = 48943180800.

The previous prime is 198835883993. The next prime is 198835884053. The reversal of 198835884000 is 488538891.

198835884000 is a `hidden beast` number, since 19 + 8 + 8 + 3 + 588 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×198835884000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4188397 + ... + 4235603.

Almost surely, 2^198835884000 is an apocalyptic number.

198835884000 is a gapful number since it is divisible by the number (10) 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 198835884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392974309728).

198835884000 is an abundant number, since it is smaller than the sum of its proper divisors (587112735456).

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

198835884000 is a wasteful number, since it uses less digits than its factorization.

198835884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47257 (or 47230 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 198835884000 in words is "one hundred ninety-eight billion, eight hundred thirty-five million, eight hundred eighty-four thousand".