414648460801 has 8 divisors (see below), whose sum is σ = 415615168800. Its totient is φ = 413682090528.

The previous prime is 414648460789. The next prime is 414648460829. The reversal of 414648460801 is 108064846414.

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 414648460801 - 2¹³ = 414648452609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414648400801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2463210 + ... + 2626156.

It is an arithmetic number, because the mean of its divisors is an integer number (51951896100).

Almost surely, 2^414648460801 is an apocalyptic number.

It is an amenable number.

414648460801 is a deficient number, since it is larger than the sum of its proper divisors (966707999).

414648460801 is a wasteful number, since it uses less digits than its factorization.

414648460801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168863.

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 414648460801 in words is "four hundred fourteen billion, six hundred forty-eight million, four hundred sixty thousand, eight hundred one".