34144210132224 has 36 divisors (see below), whose sum is σ = 90873392593536. Its totient is φ = 11381403377152.

The previous prime is 34144210132223. The next prime is 34144210132261. The reversal of 34144210132224 is 42223101244143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144210132223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22229302704 + ... + 22229304239.

It is an arithmetic number, because the mean of its divisors is an integer number (2524260905376).

Almost surely, 2^{34144210132224} is an apocalyptic number.

It is an amenable number.

34144210132224 is an abundant number, since it is smaller than the sum of its proper divisors (56729182461312).

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

34144210132224 is an equidigital number, since it uses as much as digits as its factorization.

34144210132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44458606962 (or 44458606948 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 34144210132224 its reverse (42223101244143), we get a palindrome (76367311376367).

The spelling of 34144210132224 in words is "thirty-four trillion, one hundred forty-four billion, two hundred ten million, one hundred thirty-two thousand, two hundred twenty-four".