285102324812448 has 672 divisors, whose sum is σ = 1012798034240832. Its totient is φ = 77803769548800.

The previous prime is 285102324812321. The next prime is 285102324812467. The reversal of 285102324812448 is 844218423201582.

285102324812448 is a `hidden beast` number, since 2 + 8 + 5 + 102 + 32 + 481 + 24 + 4 + 8 = 666.

It is a super-2 number, since 2×285102324812448² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 285102324812394 and 285102324812403.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 135729811 + ... + 137814317.

It is an arithmetic number, because the mean of its divisors is an integer number (1507139931906).

Almost surely, 2^{285102324812448} 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 285102324812448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506399017120416).

285102324812448 is an abundant number, since it is smaller than the sum of its proper divisors (727695709428384).

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

285102324812448 is a wasteful number, since it uses less digits than its factorization.

285102324812448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084600 (or 2084577 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 285102324812448 in words is "two hundred eighty-five trillion, one hundred two billion, three hundred twenty-four million, eight hundred twelve thousand, four hundred forty-eight".