485474616248832 has 2880 divisors, whose sum is σ = 1761053477863680. Its totient is φ = 128183382835200.

The previous prime is 485474616248777. The next prime is 485474616248861. The reversal of 485474616248832 is 238842616474584.

485474616248832 is a `hidden beast` number, since 4 + 8 + 5 + 47 + 46 + 1 + 62 + 488 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2515412519328 + ... + 2515412519520.

It is an arithmetic number, because the mean of its divisors is an integer number (611476902036).

Almost surely, 2^{485474616248832} is an apocalyptic number.

485474616248832 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485474616248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880526738931840).

485474616248832 is an abundant number, since it is smaller than the sum of its proper divisors (1275578861614848).

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

485474616248832 is a wasteful number, since it uses less digits than its factorization.

485474616248832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 449 counting only the distinct ones).

The product of its digits is 1981808640, while the sum is 72.

The spelling of 485474616248832 in words is "four hundred eighty-five trillion, four hundred seventy-four billion, six hundred sixteen million, two hundred forty-eight thousand, eight hundred thirty-two".