283878435456 has 512 divisors, whose sum is σ = 1090014105600. Its totient is φ = 70527283200.

The previous prime is 283878435419. The next prime is 283878435487. The reversal of 283878435456 is 654534878382.

283878435456 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 7 + 84 + 3 + 545 + 6 = 666.

It is a super-2 number, since 2×283878435456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 283878435393 and 283878435402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6097386 + ... + 6143766.

It is an arithmetic number, because the mean of its divisors is an integer number (2128933800).

Almost surely, 2^283878435456 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 283878435456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545007052800).

283878435456 is an abundant number, since it is smaller than the sum of its proper divisors (806135670144).

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

283878435456 is a wasteful number, since it uses less digits than its factorization.

283878435456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46445 (or 46427 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 283878435456 in words is "two hundred eighty-three billion, eight hundred seventy-eight million, four hundred thirty-five thousand, four hundred fifty-six".