863963283456 has 1280 divisors, whose sum is σ = 3286082184000. Its totient is φ = 224737099776.

The previous prime is 863963283451. The next prime is 863963283457. The reversal of 863963283456 is 654382369368.

863963283456 is a `hidden beast` number, since 8 + 63 + 96 + 32 + 8 + 3 + 456 = 666.

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 = 863963283393 and 863963283402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863963283451) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 11835113436 + ... + 11835113508.

Almost surely, 2^863963283456 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 863963283456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643041092000).

863963283456 is an abundant number, since it is smaller than the sum of its proper divisors (2422118900544).

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

863963283456 is an frugal number, since it uses more digits than its factorization.

863963283456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 98 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 863963283456 in words is "eight hundred sixty-three billion, nine hundred sixty-three million, two hundred eighty-three thousand, four hundred fifty-six".