414554401133213 has 12 divisors (see below), whose sum is σ = 455677512927420. Its totient is φ = 376859136276480.

The previous prime is 414554401133153. The next prime is 414554401133219. The reversal of 414554401133213 is 312331104455414.

It can be written as a sum of positive squares in 2 ways, for example, as 382652204004004 + 31902197129209 = 19561498^2 + 5648203^2 .

It is not a de Polignac number, because 414554401133213 - 2¹⁰ = 414554401132189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414554401133219) 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, 33252068 + ... + 43986461.

It is an arithmetic number, because the mean of its divisors is an integer number (37973126077285).

Almost surely, 2^{414554401133213} is an apocalyptic number.

It is an amenable number.

414554401133213 is a deficient number, since it is larger than the sum of its proper divisors (41123111794207).

414554401133213 is a wasteful number, since it uses less digits than its factorization.

414554401133213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77282908 (or 77282897 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Adding to 414554401133213 its reverse (312331104455414), we get a palindrome (726885505588627).

The spelling of 414554401133213 in words is "four hundred fourteen trillion, five hundred fifty-four billion, four hundred one million, one hundred thirty-three thousand, two hundred thirteen".