198129214497144 has 256 divisors, whose sum is σ = 591232232263680. Its totient is φ = 54156226682880.

The previous prime is 198129214497133. The next prime is 198129214497199. The reversal of 198129214497144 is 441794412921891.

It is a super-3 number, since 3×198129214497144³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

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, 85849729 + ... + 88127375.

It is an arithmetic number, because the mean of its divisors is an integer number (2309500907280).

Almost surely, 2^{198129214497144} is an apocalyptic number.

198129214497144 is a gapful number since it is divisible by the number (14) 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 198129214497144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295616116131840).

198129214497144 is an abundant number, since it is smaller than the sum of its proper divisors (393103017766536).

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

198129214497144 is a wasteful number, since it uses less digits than its factorization.

198129214497144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2277950 (or 2277946 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 66.

The spelling of 198129214497144 in words is "one hundred ninety-eight trillion, one hundred twenty-nine billion, two hundred fourteen million, four hundred ninety-seven thousand, one hundred forty-four".