198108634872960 has 1152 divisors, whose sum is σ = 817829294405760. Its totient is φ = 43284713472000.

The previous prime is 198108634872959. The next prime is 198108634872977. The reversal of 198108634872960 is 69278436801891.

198108634872960 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 0 + 8 + 63 + 487 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×198108634872960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60937751335 + ... + 60937754585.

It is an arithmetic number, because the mean of its divisors is an integer number (709921262505).

Almost surely, 2^{198108634872960} is an apocalyptic number.

198108634872960 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 198108634872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408914647202880).

198108634872960 is an abundant number, since it is smaller than the sum of its proper divisors (619720659532800).

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

198108634872960 is a wasteful number, since it uses less digits than its factorization.

198108634872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 198108634872960 in words is "one hundred ninety-eight trillion, one hundred eight billion, six hundred thirty-four million, eight hundred seventy-two thousand, nine hundred sixty".