34144312552 has 64 divisors (see below), whose sum is σ = 76647744000. Its totient is φ = 13949784576.

The previous prime is 34144312549. The next prime is 34144312597. The reversal of 34144312552 is 25521344143.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4773 + ... + 261364.

It is an arithmetic number, because the mean of its divisors is an integer number (1197621000).

Almost surely, 2^34144312552 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 34144312552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38323872000).

34144312552 is an abundant number, since it is smaller than the sum of its proper divisors (42503431448).

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

34144312552 is a wasteful number, since it uses less digits than its factorization.

34144312552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266258 (or 266254 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

Adding to 34144312552 its reverse (25521344143), we get a palindrome (59665656695).

The spelling of 34144312552 in words is "thirty-four billion, one hundred forty-four million, three hundred twelve thousand, five hundred fifty-two".