863320467456 has 240 divisors, whose sum is σ = 2598423347520. Its totient is φ = 285569556480.

The previous prime is 863320467397. The next prime is 863320467491. The reversal of 863320467456 is 654764023368.

863320467456 is a `hidden beast` number, since 86 + 33 + 20 + 4 + 67 + 456 = 666.

It is a super-2 number, since 2×863320467456² (a number of 25 digits) contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 21711465 + ... + 21751191.

It is an arithmetic number, because the mean of its divisors is an integer number (10826763948).

Almost surely, 2^863320467456 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 863320467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299211673760).

863320467456 is an abundant number, since it is smaller than the sum of its proper divisors (1735102880064).

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

863320467456 is a wasteful number, since it uses less digits than its factorization.

863320467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39892 (or 39863 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 863320467456 in words is "eight hundred sixty-three billion, three hundred twenty million, four hundred sixty-seven thousand, four hundred fifty-six".