463586118912 has 576 divisors, whose sum is σ = 1604354895360. Its totient is φ = 129300627456.

The previous prime is 463586118911. The next prime is 463586118929. The reversal of 463586118912 is 219811685364.

It is a happy number.

463586118912 is a `hidden beast` number, since 4 + 6 + 3 + 5 + 8 + 611 + 8 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (463586118911) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 751354828 + ... + 751355444.

It is an arithmetic number, because the mean of its divisors is an integer number (2785338360).

Almost surely, 2^463586118912 is an apocalyptic number.

463586118912 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 463586118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802177447680).

463586118912 is an abundant number, since it is smaller than the sum of its proper divisors (1140768776448).

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

463586118912 is a wasteful number, since it uses less digits than its factorization.

463586118912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 975 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 463586118912 in words is "four hundred sixty-three billion, five hundred eighty-six million, one hundred eighteen thousand, nine hundred twelve".