198334536674400 has 432 divisors, whose sum is σ = 815600196684000. Its totient is φ = 45333607818240.

The previous prime is 198334536674387. The next prime is 198334536674419. The reversal of 198334536674400 is 4476635433891.

It is a happy number.

198334536674400 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 34 + 536 + 67 + 4 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×198334536674400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37685595 + ... + 42624794.

It is an arithmetic number, because the mean of its divisors is an integer number (1887963418250).

Almost surely, 2^{198334536674400} is an apocalyptic number.

198334536674400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198334536674400 is an abundant number, since it is smaller than the sum of its proper divisors (617265660009600).

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

198334536674400 is a wasteful number, since it uses less digits than its factorization.

198334536674400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80310436 (or 80310406 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 198334536674400 in words is "one hundred ninety-eight trillion, three hundred thirty-four billion, five hundred thirty-six million, six hundred seventy-four thousand, four hundred".