198364614789120 has 768 divisors, whose sum is σ = 703167548428800. Its totient is φ = 47428361256960.

The previous prime is 198364614789119. The next prime is 198364614789157. The reversal of 198364614789120 is 21987416463891.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3749564589 + ... + 3749617491.

It is an arithmetic number, because the mean of its divisors is an integer number (915582745350).

Almost surely, 2^{198364614789120} is an apocalyptic number.

198364614789120 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 198364614789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351583774214400).

198364614789120 is an abundant number, since it is smaller than the sum of its proper divisors (504802933639680).

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

198364614789120 is a wasteful number, since it uses less digits than its factorization.

198364614789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53216 (or 53196 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 69.

The spelling of 198364614789120 in words is "one hundred ninety-eight trillion, three hundred sixty-four billion, six hundred fourteen million, seven hundred eighty-nine thousand, one hundred twenty".