34481022633 has 36 divisors (see below), whose sum is σ = 52950752140. Its totient is φ = 21617680896.

The previous prime is 34481022623. The next prime is 34481022661. The reversal of 34481022633 is 33622018443.

34481022633 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 10 + 2 + 2 + 633 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1455956649 + 33025065984 = 38157^2 + 181728^2 .

It is not a de Polignac number, because 34481022633 - 2⁵ = 34481022601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34481022623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3712191 + ... + 3721467.

Almost surely, 2^34481022633 is an apocalyptic number.

It is an amenable number.

34481022633 is a deficient number, since it is larger than the sum of its proper divisors (18469729507).

34481022633 is a wasteful number, since it uses less digits than its factorization.

34481022633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10746 (or 10726 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34481022633 in words is "thirty-four billion, four hundred eighty-one million, twenty-two thousand, six hundred thirty-three".