463299443712 has 1056 divisors, whose sum is σ = 1724982336000. Its totient is φ = 122067025920.

The previous prime is 463299443707. The next prime is 463299443713. The reversal of 463299443712 is 217344992364.

463299443712 is a `hidden beast` number, since 46 + 3 + 2 + 99 + 443 + 71 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463299443713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1055351589 + ... + 1055352027.

It is an arithmetic number, because the mean of its divisors is an integer number (1633506000).

Almost surely, 2^463299443712 is an apocalyptic number.

463299443712 is a gapful number since it is divisible by the number (42) 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 463299443712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862491168000).

463299443712 is an abundant number, since it is smaller than the sum of its proper divisors (1261682892288).

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

463299443712 is a wasteful number, since it uses less digits than its factorization.

463299443712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 511 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 463299443712 in words is "four hundred sixty-three billion, two hundred ninety-nine million, four hundred forty-three thousand, seven hundred twelve".