198395413880832 has 2016 divisors, whose sum is σ = 708398877498624. Its totient is φ = 53271016243200.

The previous prime is 198395413880819. The next prime is 198395413880849. The reversal of 198395413880832 is 238088314593891.

198395413880832 is a `hidden beast` number, since 1 + 9 + 83 + 95 + 4 + 1 + 388 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 771966590848 + ... + 771966591104.

Almost surely, 2^{198395413880832} is an apocalyptic number.

198395413880832 is a gapful number since it is divisible by the number (12) 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 198395413880832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354199438749312).

198395413880832 is an abundant number, since it is smaller than the sum of its proper divisors (510003463617792).

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

198395413880832 is a wasteful number, since it uses less digits than its factorization.

198395413880832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 198395413880832 in words is "one hundred ninety-eight trillion, three hundred ninety-five billion, four hundred thirteen million, eight hundred eighty thousand, eight hundred thirty-two".