34553469312 has 192 divisors, whose sum is σ = 104837803200. Its totient is φ = 10893560832.

The previous prime is 34553469311. The next prime is 34553469317. The reversal of 34553469312 is 21396435543.

34553469312 is a `hidden beast` number, since 3 + 4 + 553 + 4 + 6 + 93 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34553469311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20727103 + ... + 20728769.

It is an arithmetic number, because the mean of its divisors is an integer number (546030225).

Almost surely, 2^34553469312 is an apocalyptic number.

34553469312 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 34553469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52418901600).

34553469312 is an abundant number, since it is smaller than the sum of its proper divisors (70284333888).

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

34553469312 is a wasteful number, since it uses less digits than its factorization.

34553469312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2638 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The spelling of 34553469312 in words is "thirty-four billion, five hundred fifty-three million, four hundred sixty-nine thousand, three hundred twelve".