33441126345 has 96 divisors (see below), whose sum is σ = 68188780800. Its totient is φ = 15508753920.

The previous prime is 33441126317. The next prime is 33441126353. The reversal of 33441126345 is 54362114433.

33441126345 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 1 + 12 + 634 + 5 = 666.

It is not a de Polignac number, because 33441126345 - 2⁶ = 33441126281 is a prime.

It is a super-2 number, since 2×33441126345² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 331201 + ... + 420209.

It is an arithmetic number, because the mean of its divisors is an integer number (710299800).

Almost surely, 2^33441126345 is an apocalyptic number.

It is an amenable number.

33441126345 is an abundant number, since it is smaller than the sum of its proper divisors (34747654455).

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

33441126345 is a wasteful number, since it uses less digits than its factorization.

33441126345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89068 (or 89051 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The spelling of 33441126345 in words is "thirty-three billion, four hundred forty-one million, one hundred twenty-six thousand, three hundred forty-five".