354200522401 has 32 divisors (see below), whose sum is σ = 396006725376. Its totient is φ = 314088192000.

The previous prime is 354200522341. The next prime is 354200522437. The reversal of 354200522401 is 104225002453.

It is not a de Polignac number, because 354200522401 - 2¹¹ = 354200520353 is a prime.

It is a super-3 number, since 3×354200522401³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 354200522401.

It is not an unprimeable number, because it can be changed into a prime (354200522701) by changing a digit.

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, 163904761 + ... + 163906921.

It is an arithmetic number, because the mean of its divisors is an integer number (12375210168).

Almost surely, 2^354200522401 is an apocalyptic number.

It is an amenable number.

354200522401 is a deficient number, since it is larger than the sum of its proper divisors (41806202975).

354200522401 is a wasteful number, since it uses less digits than its factorization.

354200522401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153.

The product of its (nonzero) digits is 9600, while the sum is 28.

Adding to 354200522401 its reverse (104225002453), we get a palindrome (458425524854).

It can be divided in two parts, 35420052 and 2401, that added together give a palindrome (35422453).

The spelling of 354200522401 in words is "three hundred fifty-four billion, two hundred million, five hundred twenty-two thousand, four hundred one".