863649946368 has 216 divisors, whose sum is σ = 2743393934736. Its totient is φ = 259120128000.

The previous prime is 863649946349. The next prime is 863649946373.

863649946368 is a `hidden beast` number, since 8 + 6 + 36 + 499 + 46 + 3 + 68 = 666.

863649946368 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×863649946368² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 863649946296 and 863649946305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2391046 + ... + 2728442.

It is an arithmetic number, because the mean of its divisors is an integer number (12700897846).

Almost surely, 2^863649946368 is an apocalyptic number.

863649946368 is a gapful number since it is divisible by the number (88) 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 863649946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371696967368).

863649946368 is an abundant number, since it is smaller than the sum of its proper divisors (1879743988368).

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

863649946368 is a wasteful number, since it uses less digits than its factorization.

863649946368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337531 (or 337514 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 72.

The spelling of 863649946368 in words is "eight hundred sixty-three billion, six hundred forty-nine million, nine hundred forty-six thousand, three hundred sixty-eight".