198924549120 has 1056 divisors, whose sum is σ = 796807425024. Its totient is φ = 45416448000.

The previous prime is 198924549073. The next prime is 198924549133. The reversal of 198924549120 is 21945429891.

198924549120 is a `hidden beast` number, since 1 + 9 + 8 + 92 + 4 + 549 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1317381045 + ... + 1317381195.

Almost surely, 2^198924549120 is an apocalyptic number.

198924549120 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 198924549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398403712512).

198924549120 is an abundant number, since it is smaller than the sum of its proper divisors (597882875904).

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

198924549120 is a wasteful number, since it uses less digits than its factorization.

198924549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 198924549120 in words is "one hundred ninety-eight billion, nine hundred twenty-four million, five hundred forty-nine thousand, one hundred twenty".