427956705856 has 21 divisors (see below), whose sum is σ = 849236973481. Its totient is φ = 213975736192.

The previous prime is 427956705821. The next prime is 427956705871. The reversal of 427956705856 is 658507659724.

The square root of 427956705856 is 654184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 339143169600 + 88813536256 = 582360^2 + 298016^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 5192586 + ... + 5274358.

Almost surely, 2^427956705856 is an apocalyptic number.

427956705856 is the 654184-th square number.

It is an amenable number.

427956705856 is a deficient number, since it is larger than the sum of its proper divisors (421280267625).

427956705856 is an frugal number, since it uses more digits than its factorization.

427956705856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163558 (or 81775 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 64.

Multiplying 427956705856 by its sum of digits (64), we get a square (27389229174784 = 5233472²).

427956705856 divided by its sum of digits (64) gives a square (6686823529 = 81773²).

The spelling of 427956705856 in words is "four hundred twenty-seven billion, nine hundred fifty-six million, seven hundred five thousand, eight hundred fifty-six".