34234550144000 has 528 divisors, whose sum is σ = 88925480542080. Its totient is φ = 13149742694400.

The previous prime is 34234550143841. The next prime is 34234550144021. The reversal of 34234550144000 is 44105543243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13843326764 + ... + 13843329236.

Almost surely, 2^{34234550144000} 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 34234550144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44462740271040).

34234550144000 is an abundant number, since it is smaller than the sum of its proper divisors (54690930398080).

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

34234550144000 is an equidigital number, since it uses as much as digits as its factorization.

34234550144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 34234550144000 its reverse (44105543243), we get a palindrome (34278655687243).

The spelling of 34234550144000 in words is "thirty-four trillion, two hundred thirty-four billion, five hundred fifty million, one hundred forty-four thousand".