198821442456 has 256 divisors, whose sum is σ = 719716838400. Its totient is φ = 49351845888.

The previous prime is 198821442451. The next prime is 198821442467. The reversal of 198821442456 is 654244128891.

198821442456 is a `hidden beast` number, since 1 + 98 + 82 + 1 + 4 + 424 + 56 = 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 (198821442451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36651 + ... + 631653.

It is an arithmetic number, because the mean of its divisors is an integer number (2811393900).

Almost surely, 2^198821442456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198821442456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359858419200).

198821442456 is an abundant number, since it is smaller than the sum of its proper divisors (520895395944).

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

198821442456 is a wasteful number, since it uses less digits than its factorization.

198821442456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595055 (or 595045 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 198821442456 in words is "one hundred ninety-eight billion, eight hundred twenty-one million, four hundred forty-two thousand, four hundred fifty-six".