478414756017 has 48 divisors (see below), whose sum is σ = 774404374848. Its totient is φ = 282052160640.

The previous prime is 478414755997. The next prime is 478414756081. The reversal of 478414756017 is 710657414874.

478414756017 is a `hidden beast` number, since 4 + 78 + 4 + 1 + 4 + 7 + 560 + 1 + 7 = 666.

It is not a de Polignac number, because 478414756017 - 2¹⁴ = 478414739633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (478414752017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22124703 + ... + 22146315.

It is an arithmetic number, because the mean of its divisors is an integer number (16133424476).

Almost surely, 2^478414756017 is an apocalyptic number.

It is an amenable number.

478414756017 is a deficient number, since it is larger than the sum of its proper divisors (295989618831).

478414756017 is a wasteful number, since it uses less digits than its factorization.

478414756017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27710 (or 27707 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 478414756017 in words is "four hundred seventy-eight billion, four hundred fourteen million, seven hundred fifty-six thousand, seventeen".