198113684400 has 90 divisors (see below), whose sum is σ = 687509528940. Its totient is φ = 52830314880.

The previous prime is 198113684371. The next prime is 198113684449. The reversal of 198113684400 is 4486311891.

198113684400 is a `hidden beast` number, since 1 + 98 + 113 + 6 + 8 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27512190 + ... + 27519389.

It is an arithmetic number, because the mean of its divisors is an integer number (7638994766).

Almost surely, 2^198113684400 is an apocalyptic number.

198113684400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198113684400 is an abundant number, since it is smaller than the sum of its proper divisors (489395844540).

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

198113684400 is a wasteful number, since it uses less digits than its factorization.

198113684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55031603 (or 55031589 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 198113684400 in words is "one hundred ninety-eight billion, one hundred thirteen million, six hundred eighty-four thousand, four hundred".