19450036224 has 210 divisors, whose sum is σ = 58363712330. Its totient is φ = 6455033856.

The previous prime is 19450036097. The next prime is 19450036253. The reversal of 19450036224 is 42263005491.

It is a happy number.

19450036224 is a `hidden beast` number, since 1 + 94 + 500 + 3 + 62 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19110297600 + 339738624 = 138240^2 + 18432^2 .

It is a super-2 number, since 2×19450036224² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84934542 + ... + 84934770.

Almost surely, 2^19450036224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19450036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29181856165).

19450036224 is an abundant number, since it is smaller than the sum of its proper divisors (38913676106).

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

19450036224 is an frugal number, since it uses more digits than its factorization.

19450036224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 19450036224 in words is "nineteen billion, four hundred fifty million, thirty-six thousand, two hundred twenty-four".