414144516648 has 16 divisors (see below), whose sum is σ = 1035361291680. Its totient is φ = 138048172208.

The previous prime is 414144516641. The next prime is 414144516671. The reversal of 414144516648 is 846615441414.

It is a junction number, because it is equal to n+sod(n) for n = 414144516597 and 414144516606.

It is not an unprimeable number, because it can be changed into a prime (414144516641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8628010740 + ... + 8628010787.

It is an arithmetic number, because the mean of its divisors is an integer number (64710080730).

Almost surely, 2^414144516648 is an apocalyptic number.

It is an amenable number.

414144516648 is an abundant number, since it is smaller than the sum of its proper divisors (621216775032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414144516648 is a wasteful number, since it uses less digits than its factorization.

414144516648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17256021536 (or 17256021532 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

It can be divided in two parts, 414144 and 516648, that multiplied together give a palindrome (213966669312).

The spelling of 414144516648 in words is "four hundred fourteen billion, one hundred forty-four million, five hundred sixteen thousand, six hundred forty-eight".