34133311506 has 192 divisors, whose sum is σ = 85809715200. Its totient is φ = 9002214144.

The previous prime is 34133311481. The next prime is 34133311559. The reversal of 34133311506 is 60511333143.

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, 25877515 + ... + 25878833.

It is an arithmetic number, because the mean of its divisors is an integer number (446925600).

Almost surely, 2^34133311506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34133311506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42904857600).

34133311506 is an abundant number, since it is smaller than the sum of its proper divisors (51676403694).

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

34133311506 is a wasteful number, since it uses less digits than its factorization.

34133311506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

Adding to 34133311506 its reverse (60511333143), we get a palindrome (94644644649).

The spelling of 34133311506 in words is "thirty-four billion, one hundred thirty-three million, three hundred eleven thousand, five hundred six".