221413305302345 has 32 divisors (see below), whose sum is σ = 286558225535904. Its totient is φ = 163263042201600.

The previous prime is 221413305302339. The next prime is 221413305302347. The reversal of 221413305302345 is 543203503314122.

It can be written as a sum of positive squares in 16 ways, for example, as 28025038401424 + 193388266900921 = 5293868^2 + 13906411^2 .

It is a de Polignac number, because none of the positive numbers 2^k-221413305302345 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221413305302299 and 221413305302308.

It is not an unprimeable number, because it can be changed into a prime (221413305302347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117645959 + ... + 119513171.

It is an arithmetic number, because the mean of its divisors is an integer number (8954944547997).

Almost surely, 2^{221413305302345} is an apocalyptic number.

It is an amenable number.

221413305302345 is a deficient number, since it is larger than the sum of its proper divisors (65144920233559).

221413305302345 is a wasteful number, since it uses less digits than its factorization.

221413305302345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869933.

The product of its (nonzero) digits is 259200, while the sum is 38.

Adding to 221413305302345 its reverse (543203503314122), we get a palindrome (764616808616467).

The spelling of 221413305302345 in words is "two hundred twenty-one trillion, four hundred thirteen billion, three hundred five million, three hundred two thousand, three hundred forty-five".