198052578337824 has 144 divisors (see below), whose sum is σ = 643676156480448. Its totient is φ = 56585987053056.

The previous prime is 198052578337813. The next prime is 198052578337829. The reversal of 198052578337824 is 428733875250891.

It is a happy number.

198052578337824 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 525 + 7 + 8 + 3 + 3 + 78 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (198052578337829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301804114 + ... + 302459630.

It is an arithmetic number, because the mean of its divisors is an integer number (4469973308892).

Almost surely, 2^{198052578337824} is an apocalyptic number.

198052578337824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

198052578337824 is an abundant number, since it is smaller than the sum of its proper divisors (445623578142624).

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

198052578337824 is a wasteful number, since it uses less digits than its factorization.

198052578337824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805407 (or 805396 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 72.

The spelling of 198052578337824 in words is "one hundred ninety-eight trillion, fifty-two billion, five hundred seventy-eight million, three hundred thirty-seven thousand, eight hundred twenty-four".