355144000545344 has 84 divisors (see below), whose sum is σ = 720892798027116. Its totient is φ = 173591020068864.

The previous prime is 355144000545343. The next prime is 355144000545401. The reversal of 355144000545344 is 443545000441553.

It can be written as a sum of positive squares in 2 ways, for example, as 216745528398400 + 138398472146944 = 14722280^2 + 11764288^2 .

It is a super-2 number, since 2×355144000545344² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (355144000545343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119693624 + ... + 122624840.

Almost surely, 2^{355144000545344} 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 355144000545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360446399013558).

355144000545344 is an abundant number, since it is smaller than the sum of its proper divisors (365748797481772).

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

355144000545344 is an equidigital number, since it uses as much as digits as its factorization.

355144000545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932180 (or 2932123 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 47.

Adding to 355144000545344 its reverse (443545000441553), we get a palindrome (798689000986897).

The spelling of 355144000545344 in words is "three hundred fifty-five trillion, one hundred forty-four billion, five hundred forty-five thousand, three hundred forty-four".