35561435101344 has 144 divisors (see below), whose sum is σ = 103298765851008. Its totient is φ = 11599437321216.

The previous prime is 35561435101343. The next prime is 35561435101349. The reversal of 35561435101344 is 44310153416553.

35561435101344 is a `hidden beast` number, since 3 + 5 + 5 + 61 + 43 + 510 + 1 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×35561435101344² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35561435101344.

It is not an unprimeable number, because it can be changed into a prime (35561435101343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73082019 + ... + 73567005.

It is an arithmetic number, because the mean of its divisors is an integer number (717352540632).

Almost surely, 2^{35561435101344} 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 35561435101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51649382925504).

35561435101344 is an abundant number, since it is smaller than the sum of its proper divisors (67737330749664).

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

35561435101344 is a wasteful number, since it uses less digits than its factorization.

35561435101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490467 (or 490456 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 35561435101344 its reverse (44310153416553), we get a palindrome (79871588517897).

The spelling of 35561435101344 in words is "thirty-five trillion, five hundred sixty-one billion, four hundred thirty-five million, one hundred one thousand, three hundred forty-four".