34223542302144 has 224 divisors, whose sum is σ = 101665665851904. Its totient is φ = 10091363143680.

The previous prime is 34223542302137. The next prime is 34223542302193. The reversal of 34223542302144 is 44120324532243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2680189 + ... + 8696579.

It is an arithmetic number, because the mean of its divisors is an integer number (453864579696).

Almost surely, 2^{34223542302144} 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 34223542302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50832832925952).

34223542302144 is an abundant number, since it is smaller than the sum of its proper divisors (67442123549760).

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

34223542302144 is a wasteful number, since it uses less digits than its factorization.

34223542302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016515 (or 6016505 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

Adding to 34223542302144 its reverse (44120324532243), we get a palindrome (78343866834387).

The spelling of 34223542302144 in words is "thirty-four trillion, two hundred twenty-three billion, five hundred forty-two million, three hundred two thousand, one hundred forty-four".