198532608825600 has 729 divisors, whose sum is σ = 825782876244417. Its totient is φ = 45373471395840.

The previous prime is 198532608825539. The next prime is 198532608825623. The reversal of 198532608825600 is 6528806235891.

The square root of 198532608825600 is 14090160.

It is a perfect power (a square), and thus also a powerful number.

198532608825600 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 3 + 2 + 60 + 8 + 8 + 2 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71471739177216 + 127060869648384 = 8454096^2 + 11272128^2 .

It is a super-2 number, since 2×198532608825600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 23671464607 + ... + 23671472993.

Almost surely, 2^{198532608825600} is an apocalyptic number.

198532608825600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198532608825600 is the 14090160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198532608825600

198532608825600 is an abundant number, since it is smaller than the sum of its proper divisors (627250267418817).

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

198532608825600 is an frugal number, since it uses more digits than its factorization.

198532608825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16820 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 198532608825600 in words is "one hundred ninety-eight trillion, five hundred thirty-two billion, six hundred eight million, eight hundred twenty-five thousand, six hundred".