463291055136000 has 6912 divisors, whose sum is σ = 2372659167191040. Its totient is φ = 87114291609600.

The previous prime is 463291055135959. The next prime is 463291055136029. The reversal of 463291055136000 is 631550192364.

463291055136000 is a `hidden beast` number, since 4 + 6 + 3 + 2 + 91 + 0 + 551 + 3 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 228559966987 + ... + 228559969013.

It is an arithmetic number, because the mean of its divisors is an integer number (343266661920).

Almost surely, 2^{463291055136000} is an apocalyptic number.

463291055136000 is a gapful number since it is divisible by the number (40) 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 463291055136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186329583595520).

463291055136000 is an abundant number, since it is smaller than the sum of its proper divisors (1909368112055040).

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

463291055136000 is a wasteful number, since it uses less digits than its factorization.

463291055136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 463291055136000 in words is "four hundred sixty-three trillion, two hundred ninety-one billion, fifty-five million, one hundred thirty-six thousand".