34153207135296 has 112 divisors (see below), whose sum is σ = 91315467790848. Its totient is φ = 11264634880000.

The previous prime is 34153207135253. The next prime is 34153207135351. The reversal of 34153207135296 is 69253170235143.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30496561 + ... + 31596623.

It is an arithmetic number, because the mean of its divisors is an integer number (815316676704).

Almost surely, 2^{34153207135296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34153207135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45657733895424).

34153207135296 is an abundant number, since it is smaller than the sum of its proper divisors (57162260655552).

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

34153207135296 is a wasteful number, since it uses less digits than its factorization.

34153207135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101780 (or 1101770 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 34153207135296 in words is "thirty-four trillion, one hundred fifty-three billion, two hundred seven million, one hundred thirty-five thousand, two hundred ninety-six".