194001421800 has 384 divisors, whose sum is σ = 636387840000. Its totient is φ = 48819563520.

The previous prime is 194001421751. The next prime is 194001421837. The reversal of 194001421800 is 8124100491.

194001421800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147081541 + ... + 147082859.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260000).

Almost surely, 2^194001421800 is an apocalyptic number.

194001421800 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 194001421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318193920000).

194001421800 is an abundant number, since it is smaller than the sum of its proper divisors (442386418200).

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

194001421800 is a wasteful number, since it uses less digits than its factorization.

194001421800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 194001421800 in words is "one hundred ninety-four billion, one million, four hundred twenty-one thousand, eight hundred".