34445144544 has 96 divisors (see below), whose sum is σ = 92246182560. Its totient is φ = 11251924992.

The previous prime is 34445144543. The next prime is 34445144549. The reversal of 34445144544 is 44544154443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34445144496 and 34445144505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34445144543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 947634 + ... + 983310.

It is an arithmetic number, because the mean of its divisors is an integer number (960897735).

Almost surely, 2^34445144544 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 34445144544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46123091280).

34445144544 is an abundant number, since it is smaller than the sum of its proper divisors (57801038016).

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

34445144544 is a wasteful number, since it uses less digits than its factorization.

34445144544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35892 (or 35884 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 42.

Adding to 34445144544 its reverse (44544154443), we get a palindrome (78989298987).

The spelling of 34445144544 in words is "thirty-four billion, four hundred forty-five million, one hundred forty-four thousand, five hundred forty-four".