286472595456 has 576 divisors, whose sum is σ = 910654617600. Its totient is φ = 88958435328.

The previous prime is 286472595407. The next prime is 286472595473. The reversal of 286472595456 is 654595274682.

286472595456 is a `hidden beast` number, since 2 + 8 + 64 + 7 + 25 + 9 + 545 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 286472595393 and 286472595402.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2255689665 + ... + 2255689791.

It is an arithmetic number, because the mean of its divisors is an integer number (1580997600).

Almost surely, 2^286472595456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286472595456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455327308800).

286472595456 is an abundant number, since it is smaller than the sum of its proper divisors (624182022144).

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

286472595456 is a wasteful number, since it uses less digits than its factorization.

286472595456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 264 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 286472595456 in words is "two hundred eighty-six billion, four hundred seventy-two million, five hundred ninety-five thousand, four hundred fifty-six".