198788903712 has 144 divisors (see below), whose sum is σ = 646518704832. Its totient is φ = 56756851200.

The previous prime is 198788903693. The next prime is 198788903741. The reversal of 198788903712 is 217309887891.

198788903712 is a `hidden beast` number, since 198 + 78 + 8 + 9 + 0 + 371 + 2 = 666.

198788903712 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 198788903712.

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 23 ways as a sum of consecutive naturals, for example, 2891238 + ... + 2959194.

It is an arithmetic number, because the mean of its divisors is an integer number (4489713228).

Almost surely, 2^198788903712 is an apocalyptic number.

198788903712 is a gapful number since it is divisible by the number (12) 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 198788903712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323259352416).

198788903712 is an abundant number, since it is smaller than the sum of its proper divisors (447729801120).

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

198788903712 is a wasteful number, since it uses less digits than its factorization.

198788903712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69431 (or 69420 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

It can be divided in two parts, 198788 and 903712, that added together give a square (1102500 = 1050²).

The spelling of 198788903712 in words is "one hundred ninety-eight billion, seven hundred eighty-eight million, nine hundred three thousand, seven hundred twelve".