198645948000 has 144 divisors (see below), whose sum is σ = 704994597216. Its totient is φ = 52972243200.

The previous prime is 198645947993. The next prime is 198645948077. The reversal of 198645948000 is 849546891.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2722972 + ... + 2794971.

It is an arithmetic number, because the mean of its divisors is an integer number (4895795814).

Almost surely, 2^198645948000 is an apocalyptic number.

198645948000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198645948000 is an abundant number, since it is smaller than the sum of its proper divisors (506348649216).

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

198645948000 is a wasteful number, since it uses less digits than its factorization.

198645948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517974 (or 5517953 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 198645948000 in words is "one hundred ninety-eight billion, six hundred forty-five million, nine hundred forty-eight thousand".