463312283616 has 576 divisors, whose sum is σ = 1735981019136. Its totient is φ = 118244966400.

The previous prime is 463312283573. The next prime is 463312283669. The reversal of 463312283616 is 616382213364.

463312283616 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 1 + 2 + 28 + 3 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 21925536 + ... + 21946656.

It is an arithmetic number, because the mean of its divisors is an integer number (3013855936).

Almost surely, 2^463312283616 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 463312283616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867990509568).

463312283616 is an abundant number, since it is smaller than the sum of its proper divisors (1272668735520).

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

463312283616 is a wasteful number, since it uses less digits than its factorization.

463312283616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21197 (or 21177 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 463312283616 in words is "four hundred sixty-three billion, three hundred twelve million, two hundred eighty-three thousand, six hundred sixteen".