198414425664 has 1008 divisors, whose sum is σ = 753276136320. Its totient is φ = 50139648000.

The previous prime is 198414425659. The next prime is 198414425723. The reversal of 198414425664 is 466524414891.

198414425664 is a `hidden beast` number, since 1 + 98 + 4 + 1 + 442 + 56 + 64 = 666.

198414425664 is digitally balanced in base 2, because in such base 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 (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 198414425664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1964499214 + ... + 1964499314.

Almost surely, 2^198414425664 is an apocalyptic number.

198414425664 is a gapful number since it is divisible by the number (14) 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 198414425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376638068160).

198414425664 is an abundant number, since it is smaller than the sum of its proper divisors (554861710656).

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

198414425664 is a wasteful number, since it uses less digits than its factorization.

198414425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 157 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 198414425664 in words is "one hundred ninety-eight billion, four hundred fourteen million, four hundred twenty-five thousand, six hundred sixty-four".