198403967376000 has 1536 divisors, whose sum is σ = 758112081592320. Its totient is φ = 51543135129600.

The previous prime is 198403967375981. The next prime is 198403967376031. The reversal of 198403967376000 is 673769304891.

198403967376000 is a `hidden beast` number, since 1 + 9 + 8 + 403 + 96 + 73 + 76 + 0 + 0 + 0 = 666.

198403967376000 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41481069609 + ... + 41481074391.

It is an arithmetic number, because the mean of its divisors is an integer number (493562553120).

Almost surely, 2^{198403967376000} is an apocalyptic number.

198403967376000 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 198403967376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379056040796160).

198403967376000 is an abundant number, since it is smaller than the sum of its proper divisors (559708114216320).

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

198403967376000 is an equidigital number, since it uses as much as digits as its factorization.

198403967376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5067 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 198403967376000 in words is "one hundred ninety-eight trillion, four hundred three billion, nine hundred sixty-seven million, three hundred seventy-six thousand".