416377018945 has 8 divisors (see below), whose sum is σ = 499736391336. Its totient is φ = 333045636096.

The previous prime is 416377018933. The next prime is 416377018949. The reversal of 416377018945 is 549810773614.

It can be written as a sum of positive squares in 4 ways, for example, as 579027969 + 415797990976 = 24063^2 + 644824^2 .

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 416377018945 - 2³⁵ = 382017280577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416377018949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6964642 + ... + 7024171.

It is an arithmetic number, because the mean of its divisors is an integer number (62467048917).

Almost surely, 2^416377018945 is an apocalyptic number.

It is an amenable number.

416377018945 is a deficient number, since it is larger than the sum of its proper divisors (83359372391).

416377018945 is a wasteful number, since it uses less digits than its factorization.

416377018945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13994771.

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 416377018945 in words is "four hundred sixteen billion, three hundred seventy-seven million, eighteen thousand, nine hundred forty-five".