198436092918336 has 672 divisors, whose sum is σ = 702163597943808. Its totient is φ = 52176102359040.

The previous prime is 198436092918331. The next prime is 198436092918337. The reversal of 198436092918336 is 633819290634891.

198436092918336 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 3 + 609 + 2 + 9 + 1 + 8 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (198436092918331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47735406370 + ... + 47735410526.

It is an arithmetic number, because the mean of its divisors is an integer number (1044886306464).

Almost surely, 2^{198436092918336} is an apocalyptic number.

198436092918336 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 198436092918336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351081798971904).

198436092918336 is an abundant number, since it is smaller than the sum of its proper divisors (503727505025472).

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

198436092918336 is a wasteful number, since it uses less digits than its factorization.

198436092918336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 198436092918336 in words is "one hundred ninety-eight trillion, four hundred thirty-six billion, ninety-two million, nine hundred eighteen thousand, three hundred thirty-six".