33414345100 has 72 divisors (see below), whose sum is σ = 75589911936. Its totient is φ = 12806400000.

The previous prime is 33414345071. The next prime is 33414345119. The reversal of 33414345100 is 154341433.

It is a super-2 number, since 2×33414345100² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 259740 + ... + 366460.

It is an arithmetic number, because the mean of its divisors is an integer number (1049859888).

Almost surely, 2^33414345100 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 33414345100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37794955968).

33414345100 is an abundant number, since it is smaller than the sum of its proper divisors (42175566836).

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

33414345100 is a wasteful number, since it uses less digits than its factorization.

33414345100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106867 (or 106860 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 33414345100 its reverse (154341433), we get a palindrome (33568686533).

The spelling of 33414345100 in words is "thirty-three billion, four hundred fourteen million, three hundred forty-five thousand, one hundred".