863413860456 has 320 divisors, whose sum is σ = 2812016148480. Its totient is φ = 242421310080.

The previous prime is 863413860451. The next prime is 863413860461. The reversal of 863413860456 is 654068314368.

863413860456 is a `hidden beast` number, since 8 + 63 + 41 + 38 + 60 + 456 = 666.

863413860456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (863413860451) and next prime (863413860461).

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

It is not an unprimeable number, because it can be changed into a prime (863413860451) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71903205 + ... + 71915211.

It is an arithmetic number, because the mean of its divisors is an integer number (8787550464).

Almost surely, 2^863413860456 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 863413860456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406008074240).

863413860456 is an abundant number, since it is smaller than the sum of its proper divisors (1948602288024).

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

863413860456 is a wasteful number, since it uses less digits than its factorization.

863413860456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12306 (or 12293 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 863413860456 in words is "eight hundred sixty-three billion, four hundred thirteen million, eight hundred sixty thousand, four hundred fifty-six".