33854229906 has 64 divisors (see below), whose sum is σ = 81953817600. Its totient is φ = 9107297856.

The previous prime is 33854229901. The next prime is 33854229949. The reversal of 33854229906 is 60992245833.

It is a happy number.

It is a super-2 number, since 2×33854229906² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33854229901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61 + ... + 260208.

It is an arithmetic number, because the mean of its divisors is an integer number (1280528400).

Almost surely, 2^33854229906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33854229906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40976908800).

33854229906 is an abundant number, since it is smaller than the sum of its proper divisors (48099587694).

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

33854229906 is a wasteful number, since it uses less digits than its factorization.

33854229906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260463.

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 33854229906 in words is "thirty-three billion, eight hundred fifty-four million, two hundred twenty-nine thousand, nine hundred six".