485253909352584 has 192 divisors, whose sum is σ = 1399666358563200. Its totient is φ = 151536318455808.

The previous prime is 485253909352543. The next prime is 485253909352603.

485253909352584 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 5 + 3 + 9 + 0 + 9 + 35 + 2 + 584 = 666.

485253909352584 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45851127 + ... + 55433145.

It is an arithmetic number, because the mean of its divisors is an integer number (7289928950850).

Almost surely, 2^{485253909352584} 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 485253909352584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699833179281600).

485253909352584 is an abundant number, since it is smaller than the sum of its proper divisors (914412449210616).

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

485253909352584 is a wasteful number, since it uses less digits than its factorization.

485253909352584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582684 (or 9582677 counting only the distinct ones).

The product of its (nonzero) digits is 1866240000, while the sum is 72.

The spelling of 485253909352584 in words is "four hundred eighty-five trillion, two hundred fifty-three billion, nine hundred nine million, three hundred fifty-two thousand, five hundred eighty-four".