33845000010 has 128 divisors (see below), whose sum is σ = 88689081600. Its totient is φ = 8236339200.

The previous prime is 33845000009. The next prime is 33845000099. The reversal of 33845000010 is 1000054833.

It is a super-2 number, since 2×33845000010² (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 63 ways as a sum of consecutive naturals, for example, 2122146 + ... + 2138034.

It is an arithmetic number, because the mean of its divisors is an integer number (692883450).

Almost surely, 2^33845000010 is an apocalyptic number.

33845000010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33845000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44344540800).

33845000010 is an abundant number, since it is smaller than the sum of its proper divisors (54844081590).

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

33845000010 is a wasteful number, since it uses less digits than its factorization.

33845000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16056.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 33845000010 its reverse (1000054833), we get a palindrome (34845054843).

The spelling of 33845000010 in words is "thirty-three billion, eight hundred forty-five million, ten", and thus it is an aban number.