414677047456 has 48 divisors (see below), whose sum is σ = 942081888384. Its totient is φ = 175993300224.

The previous prime is 414677047439. The next prime is 414677047471. The reversal of 414677047456 is 654740776414.

It is a junction number, because it is equal to n+sod(n) for n = 414677047397 and 414677047406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8963515 + ... + 9009658.

It is an arithmetic number, because the mean of its divisors is an integer number (19626706008).

Almost surely, 2^414677047456 is an apocalyptic number.

It is an amenable number.

414677047456 is an abundant number, since it is smaller than the sum of its proper divisors (527404840928).

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

414677047456 is a wasteful number, since it uses less digits than its factorization.

414677047456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17973293 (or 17973285 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 55.

The spelling of 414677047456 in words is "four hundred fourteen billion, six hundred seventy-seven million, forty-seven thousand, four hundred fifty-six".