198034657920 has 896 divisors, whose sum is σ = 791782490880. Its totient is φ = 46929715200.

The previous prime is 198034657913. The next prime is 198034657943. The reversal of 198034657920 is 29756430891.

198034657920 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 3 + 46 + 579 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 241211110 + ... + 241211930.

It is a 1-persistent number, because it is pandigital, but 2⋅198034657920 = 396069315840 is not.

Almost surely, 2^198034657920 is an apocalyptic number.

198034657920 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 198034657920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395891245440).

198034657920 is an abundant number, since it is smaller than the sum of its proper divisors (593747832960).

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

198034657920 is an equidigital number, since it uses as much as digits as its factorization.

198034657920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 198034657920 in words is "one hundred ninety-eight billion, thirty-four million, six hundred fifty-seven thousand, nine hundred twenty".