198893482664544 has 288 divisors, whose sum is σ = 631781439569280. Its totient is φ = 61347804198912.

The previous prime is 198893482664507. The next prime is 198893482664551. The reversal of 198893482664544 is 445466284398891.

198893482664544 is a `hidden beast` number, since 1 + 9 + 8 + 8 + 9 + 3 + 4 + 8 + 2 + 6 + 64 + 544 = 666.

198893482664544 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9300537 + ... + 22006520.

It is an arithmetic number, because the mean of its divisors is an integer number (2193685554060).

Almost surely, 2^{198893482664544} is an apocalyptic number.

It is an amenable number.

198893482664544 is an abundant number, since it is smaller than the sum of its proper divisors (432887956904736).

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

198893482664544 is a wasteful number, since it uses less digits than its factorization.

198893482664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31307144 (or 31307124 counting only the distinct ones).

The product of its digits is 11466178560, while the sum is 81.

The spelling of 198893482664544 in words is "one hundred ninety-eight trillion, eight hundred ninety-three billion, four hundred eighty-two million, six hundred sixty-four thousand, five hundred forty-four".