194436900000 has 648 divisors, whose sum is σ = 804136149180. Its totient is φ = 44432640000.

The previous prime is 194436899929. The next prime is 194436900029. The reversal of 194436900000 is 9634491.

It can be written as a sum of positive squares in 6 ways, for example, as 63546343056 + 130890556944 = 252084^2 + 361788^2 .

It is a super-2 number, since 2×194436900000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44097796 + ... + 44102204.

Almost surely, 2^194436900000 is an apocalyptic number.

194436900000 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 194436900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402068074590).

194436900000 is an abundant number, since it is smaller than the sum of its proper divisors (609699249180).

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

194436900000 is an equidigital number, since it uses as much as digits as its factorization.

194436900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 194436900000 in words is "one hundred ninety-four billion, four hundred thirty-six million, nine hundred thousand".