198467565120 has 1344 divisors, whose sum is σ = 823736874240. Its totient is φ = 44568576000.

The previous prime is 198467565059. The next prime is 198467565143. The reversal of 198467565120 is 21565764891.

It is a happy number.

198467565120 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 67 + 565 + 12 + 0 = 666.

It is a super-2 number, since 2×198467565120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 3744671014 + ... + 3744671066.

It is an arithmetic number, because the mean of its divisors is an integer number (612899460).

Almost surely, 2^198467565120 is an apocalyptic number.

198467565120 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 198467565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411868437120).

198467565120 is an abundant number, since it is smaller than the sum of its proper divisors (625269309120).

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

198467565120 is a wasteful number, since it uses less digits than its factorization.

198467565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 198467565120 in words is "one hundred ninety-eight billion, four hundred sixty-seven million, five hundred sixty-five thousand, one hundred twenty".