283582480896 has 640 divisors, whose sum is σ = 993236428800. Its totient is φ = 78756986880.

The previous prime is 283582480877. The next prime is 283582480963. The reversal of 283582480896 is 698084285382.

283582480896 is a `hidden beast` number, since 2 + 8 + 3 + 582 + 48 + 0 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×283582480896² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330130515 + ... + 330131373.

It is an arithmetic number, because the mean of its divisors is an integer number (1551931920).

Almost surely, 2^283582480896 is an apocalyptic number.

283582480896 is a gapful number since it is divisible by the number (26) 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 283582480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496618214400).

283582480896 is an abundant number, since it is smaller than the sum of its proper divisors (709653947904).

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

283582480896 is a wasteful number, since it uses less digits than its factorization.

283582480896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 283582480896 in words is "two hundred eighty-three billion, five hundred eighty-two million, four hundred eighty thousand, eight hundred ninety-six".