194816304400 has 135 divisors (see below), whose sum is σ = 485380047373. Its totient is φ = 75140531200.

The previous prime is 194816304383. The next prime is 194816304409. The reversal of 194816304400 is 4403618491.

The square root of 194816304400 is 441380.

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

It can be written as a sum of positive squares in 13 ways, for example, as 193962729744 + 853574656 = 440412^2 + 29216^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (194816304409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 256000020 + ... + 256000780.

Almost surely, 2^194816304400 is an apocalyptic number.

194816304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

194816304400 is the 441380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194816304400

194816304400 is an abundant number, since it is smaller than the sum of its proper divisors (290563742973).

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

194816304400 is an frugal number, since it uses more digits than its factorization.

194816304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

It can be divided in two parts, 194816 and 304400, that multiplied together give a square (59301990400 = 243520²).

The spelling of 194816304400 in words is "one hundred ninety-four billion, eight hundred sixteen million, three hundred four thousand, four hundred".