34553030005312 has 168 divisors, whose sum is σ = 84863042668800. Its totient is φ = 13667681783808.

The previous prime is 34553030005213. The next prime is 34553030005349. The reversal of 34553030005312 is 21350003035543.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 769892889 + ... + 769937767.

Almost surely, 2^{34553030005312} is an apocalyptic number.

34553030005312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34553030005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42431521334400).

34553030005312 is an abundant number, since it is smaller than the sum of its proper divisors (50310012663488).

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

34553030005312 is a wasteful number, since it uses less digits than its factorization.

34553030005312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55093 (or 55070 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 34.

The spelling of 34553030005312 in words is "thirty-four trillion, five hundred fifty-three billion, thirty million, five thousand, three hundred twelve".