198615144953856 has 384 divisors, whose sum is σ = 545711886720000. Its totient is φ = 64203192926208.

The previous prime is 198615144953843. The next prime is 198615144953857. The reversal of 198615144953856 is 658359441516891.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198615144953857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22036514406 + ... + 22036523418.

It is an arithmetic number, because the mean of its divisors is an integer number (1421124705000).

Almost surely, 2^{198615144953856} is an apocalyptic number.

198615144953856 is a gapful number since it is divisible by the number (16) 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 198615144953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272855943360000).

198615144953856 is an abundant number, since it is smaller than the sum of its proper divisors (347096741766144).

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

198615144953856 is a wasteful number, since it uses less digits than its factorization.

198615144953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9669 (or 9649 counting only the distinct ones).

The product of its digits is 1119744000, while the sum is 75.

The spelling of 198615144953856 in words is "one hundred ninety-eight trillion, six hundred fifteen billion, one hundred forty-four million, nine hundred fifty-three thousand, eight hundred fifty-six".