355014121430401 has 16 divisors (see below), whose sum is σ = 375949057580496. Its totient is φ = 334084938909696.

The previous prime is 355014121430363. The next prime is 355014121430489. The reversal of 355014121430401 is 104034121410553.

It can be written as a sum of positive squares in 8 ways, for example, as 2068200639376 + 352945920791025 = 1438124^2 + 18786855^2 .

It is a cyclic number.

It is not a de Polignac number, because 355014121430401 - 2¹⁵ = 355014121397633 is a prime.

It is a super-3 number, since 3×355014121430401³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (355014121433401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5405422975 + ... + 5405488651.

It is an arithmetic number, because the mean of its divisors is an integer number (23496816098781).

Almost surely, 2^{355014121430401} is an apocalyptic number.

It is an amenable number.

355014121430401 is a deficient number, since it is larger than the sum of its proper divisors (20934936150095).

355014121430401 is a wasteful number, since it uses less digits than its factorization.

355014121430401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104628.

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 355014121430401 its reverse (104034121410553), we get a palindrome (459048242840954).

The spelling of 355014121430401 in words is "three hundred fifty-five trillion, fourteen billion, one hundred twenty-one million, four hundred thirty thousand, four hundred one".