285142594464 has 1440 divisors, whose sum is σ = 1132311882240. Its totient is φ = 68494491648.

The previous prime is 285142594463. The next prime is 285142594493. The reversal of 285142594464 is 464495241582.

285142594464 is a `hidden beast` number, since 2 + 8 + 5 + 1 + 4 + 2 + 594 + 46 + 4 = 666.

It is a super-2 number, since 2×285142594464² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 285142594464.

It is not an unprimeable number, because it can be changed into a prime (285142594463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3203849332 + ... + 3203849420.

It is an arithmetic number, because the mean of its divisors is an integer number (786327696).

Almost surely, 2^285142594464 is an apocalyptic number.

285142594464 is a gapful number since it is divisible by the number (24) 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 285142594464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566155941120).

285142594464 is an abundant number, since it is smaller than the sum of its proper divisors (847169287776).

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

285142594464 is a wasteful number, since it uses less digits than its factorization.

285142594464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 285142594464 in words is "two hundred eighty-five billion, one hundred forty-two million, five hundred ninety-four thousand, four hundred sixty-four".