863904448512 has 480 divisors, whose sum is σ = 3097566743040. Its totient is φ = 232296284160.

The previous prime is 863904448499. The next prime is 863904448513. The reversal of 863904448512 is 215844409368.

863904448512 is a `hidden beast` number, since 8 + 63 + 90 + 4 + 4 + 485 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863904448513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52633587 + ... + 52649997.

It is an arithmetic number, because the mean of its divisors is an integer number (6453264048).

Almost surely, 2^863904448512 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 863904448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548783371520).

863904448512 is an abundant number, since it is smaller than the sum of its proper divisors (2233662294528).

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

863904448512 is a wasteful number, since it uses less digits than its factorization.

863904448512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16472 (or 16440 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 863904448512 in words is "eight hundred sixty-three billion, nine hundred four million, four hundred forty-eight thousand, five hundred twelve".