33828345414 has 84 divisors (see below), whose sum is σ = 76859904276. Its totient is φ = 11166638292.

The previous prime is 33828345367. The next prime is 33828345443. The reversal of 33828345414 is 41454382833.

33828345414 is a `hidden beast` number, since 33 + 82 + 83 + 454 + 14 = 666.

It is a super-2 number, since 2×33828345414² (a number of 22 digits) contains 22 as substring.

Its product of digits (1105920) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 33828345414.

It is a congruent number.

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 41 ways as a sum of consecutive naturals, for example, 328430487 + ... + 328430589.

Almost surely, 2^33828345414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33828345414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38429952138).

33828345414 is an abundant number, since it is smaller than the sum of its proper divisors (43031558862).

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

33828345414 is an frugal number, since it uses more digits than its factorization.

33828345414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 108 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 33828345414 in words is "thirty-three billion, eight hundred twenty-eight million, three hundred forty-five thousand, four hundred fourteen".