33820196143104 has 1088 divisors, whose sum is σ = 117871793786880. Its totient is φ = 9384854814720.

The previous prime is 33820196143093. The next prime is 33820196143157. The reversal of 33820196143104 is 40134169102833.

33820196143104 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 0 + 19 + 614 + 3 + 10 + 4 = 666.

It is a super-2 number, since 2×33820196143104² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33820196143104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68880236299 + ... + 68880236789.

It is an arithmetic number, because the mean of its divisors is an integer number (108338045760).

Almost surely, 2^{33820196143104} 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 33820196143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58935896893440).

33820196143104 is an abundant number, since it is smaller than the sum of its proper divisors (84051597643776).

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

33820196143104 is an frugal number, since it uses more digits than its factorization.

33820196143104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 33820196143104 in words is "thirty-three trillion, eight hundred twenty billion, one hundred ninety-six million, one hundred forty-three thousand, one hundred four".