198496138464 has 192 divisors, whose sum is σ = 626098636800. Its totient is φ = 60819365376.

The previous prime is 198496138459. The next prime is 198496138469. The reversal of 198496138464 is 464831694891.

198496138464 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 9 + 613 + 8 + 4 + 6 + 4 = 666.

198496138464 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198496138459) and next prime (198496138469).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198496138469) 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, 2647477 + ... + 2721419.

It is an arithmetic number, because the mean of its divisors is an integer number (3260930400).

Almost surely, 2^198496138464 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 198496138464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313049318400).

198496138464 is an abundant number, since it is smaller than the sum of its proper divisors (427602498336).

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

198496138464 is a wasteful number, since it uses less digits than its factorization.

198496138464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74214 (or 74200 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 198496138464 in words is "one hundred ninety-eight billion, four hundred ninety-six million, one hundred thirty-eight thousand, four hundred sixty-four".