863323487216064 has 672 divisors, whose sum is σ = 2916518169382272. Its totient is φ = 239031336960000.

The previous prime is 863323487216053. The next prime is 863323487216077. The reversal of 863323487216064 is 460612784323368.

863323487216064 is a `hidden beast` number, since 8 + 6 + 3 + 3 + 2 + 348 + 72 + 160 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 863323487215992 and 863323487216010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132391269124 + ... + 132391275644.

It is an arithmetic number, because the mean of its divisors is an integer number (4340056799676).

Almost surely, 2^{863323487216064} is an apocalyptic number.

863323487216064 is a gapful number since it is divisible by the number (84) 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 863323487216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458259084691136).

863323487216064 is an abundant number, since it is smaller than the sum of its proper divisors (2053194682166208).

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

863323487216064 is a wasteful number, since it uses less digits than its factorization.

863323487216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11845 (or 11832 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 863323487216064 in words is "eight hundred sixty-three trillion, three hundred twenty-three billion, four hundred eighty-seven million, two hundred sixteen thousand, sixty-four".