463825542816 has 192 divisors, whose sum is σ = 1370219034240. Its totient is φ = 152623595520.

The previous prime is 463825542721. The next prime is 463825542821. The reversal of 463825542816 is 618245528364.

463825542816 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 2 + 554 + 2 + 81 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151525926 + ... + 151528986.

It is an arithmetic number, because the mean of its divisors is an integer number (7136557470).

Almost surely, 2^463825542816 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 463825542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685109517120).

463825542816 is an abundant number, since it is smaller than the sum of its proper divisors (906393491424).

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

463825542816 is a wasteful number, since it uses less digits than its factorization.

463825542816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5276 (or 5262 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 463825542816 in words is "four hundred sixty-three billion, eight hundred twenty-five million, five hundred forty-two thousand, eight hundred sixteen".