194400816480 has 1152 divisors, whose sum is σ = 806267105280. Its totient is φ = 43804385280.

The previous prime is 194400816469. The next prime is 194400816517. The reversal of 194400816480 is 84618004491.

194400816480 is a `hidden beast` number, since 1 + 9 + 4 + 400 + 8 + 164 + 80 = 666.

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

194400816480 is a modest number, since divided by 816480 gives 194400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 297703834 + ... + 297704486.

It is an arithmetic number, because the mean of its divisors is an integer number (699884640).

Almost surely, 2^194400816480 is an apocalyptic number.

194400816480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194400816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403133552640).

194400816480 is an abundant number, since it is smaller than the sum of its proper divisors (611866288800).

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

194400816480 is a wasteful number, since it uses less digits than its factorization.

194400816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 194400816480 in words is "one hundred ninety-four billion, four hundred million, eight hundred sixteen thousand, four hundred eighty".