198454950144 has 648 divisors, whose sum is σ = 668179512000. Its totient is φ = 56166359040.

The previous prime is 198454950121. The next prime is 198454950193. The reversal of 198454950144 is 441059454891.

198454950144 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 5 + 495 + 0 + 144 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 997260957 + ... + 997261155.

Almost surely, 2^198454950144 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 198454950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334089756000).

198454950144 is an abundant number, since it is smaller than the sum of its proper divisors (469724561856).

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

198454950144 is a wasteful number, since it uses less digits than its factorization.

198454950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 198454950144 in words is "one hundred ninety-eight billion, four hundred fifty-four million, nine hundred fifty thousand, one hundred forty-four".