863946649368 has 192 divisors, whose sum is σ = 2571250500000. Its totient is φ = 259892858880.

The previous prime is 863946649327. The next prime is 863946649387.

863946649368 is a `hidden beast` number, since 8 + 6 + 39 + 46 + 6 + 493 + 68 = 666.

863946649368 is nontrivially palindromic in base 10.

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 = 863946649296 and 863946649305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63290608 + ... + 63304256.

Almost surely, 2^863946649368 is an apocalyptic number.

863946649368 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 863946649368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285625250000).

863946649368 is an abundant number, since it is smaller than the sum of its proper divisors (1707303850632).

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

863946649368 is a wasteful number, since it uses less digits than its factorization.

863946649368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14250 (or 14243 counting only the distinct ones).

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

The spelling of 863946649368 in words is "eight hundred sixty-three billion, nine hundred forty-six million, six hundred forty-nine thousand, three hundred sixty-eight".