198508143744 has 320 divisors, whose sum is σ = 628792563960. Its totient is φ = 61950099456.

The previous prime is 198508143679. The next prime is 198508143751. The reversal of 198508143744 is 447341805891.

198508143744 is a `hidden beast` number, since 1 + 98 + 5 + 0 + 81 + 437 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195753153600 + 2754990144 = 442440^2 + 52488^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34719574 + ... + 34725290.

Almost surely, 2^198508143744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198508143744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314396281980).

198508143744 is an abundant number, since it is smaller than the sum of its proper divisors (430284420216).

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

198508143744 is a wasteful number, since it uses less digits than its factorization.

198508143744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 198508143744 in words is "one hundred ninety-eight billion, five hundred eight million, one hundred forty-three thousand, seven hundred forty-four".