414204223513 has 8 divisors (see below), whose sum is σ = 420151968000. Its totient is φ = 408259642560.

The previous prime is 414204223501. The next prime is 414204223519. The reversal of 414204223513 is 315322402414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414204223513 - 2⁵ = 414204223481 is a prime.

It is a super-2 number, since 2×414204223513² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414204223519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526513 + ... + 1051486.

It is an arithmetic number, because the mean of its divisors is an integer number (52518996000).

Almost surely, 2^414204223513 is an apocalyptic number.

It is an amenable number.

414204223513 is a deficient number, since it is larger than the sum of its proper divisors (5947744487).

414204223513 is a wasteful number, since it uses less digits than its factorization.

414204223513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581767.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 414204223513 its reverse (315322402414), we get a palindrome (729526625927).

The spelling of 414204223513 in words is "four hundred fourteen billion, two hundred four million, two hundred twenty-three thousand, five hundred thirteen".