34144214214032 has 80 divisors (see below), whose sum is σ = 74554989425280. Its totient is φ = 15030259132416.

The previous prime is 34144214214031. The next prime is 34144214214109. The reversal of 34144214214032 is 23041241244143.

It is a junction number, because it is equal to n+sod(n) for n = 34144214213983 and 34144214214001.

It is not an unprimeable number, because it can be changed into a prime (34144214214031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8624057 + ... + 11944152.

It is an arithmetic number, because the mean of its divisors is an integer number (931937367816).

Almost surely, 2^{34144214214032} is an apocalyptic number.

It is an amenable number.

34144214214032 is an abundant number, since it is smaller than the sum of its proper divisors (40410775211248).

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

34144214214032 is a wasteful number, since it uses less digits than its factorization.

34144214214032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20568600 (or 20568594 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 34144214214032 its reverse (23041241244143), we get a palindrome (57185455458175).

The spelling of 34144214214032 in words is "thirty-four trillion, one hundred forty-four billion, two hundred fourteen million, two hundred fourteen thousand, thirty-two".