34554414402224 has 160 divisors (see below), whose sum is σ = 71806243392000. Its totient is φ = 16078006517760.

The previous prime is 34554414402149. The next prime is 34554414402247. The reversal of 34554414402224 is 42220441445543.

It is a super-2 number, since 2×34554414402224² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5907744452 + ... + 5907750300.

It is an arithmetic number, because the mean of its divisors is an integer number (448789021200).

Almost surely, 2^{34554414402224} 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 34554414402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35903121696000).

34554414402224 is an abundant number, since it is smaller than the sum of its proper divisors (37251828989776).

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

34554414402224 is a wasteful number, since it uses less digits than its factorization.

34554414402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631 (or 9625 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 44.

Adding to 34554414402224 its reverse (42220441445543), we get a palindrome (76774855847767).

The spelling of 34554414402224 in words is "thirty-four trillion, five hundred fifty-four billion, four hundred fourteen million, four hundred two thousand, two hundred twenty-four".