463143250466424 has 288 divisors, whose sum is σ = 1461959870127120. Its totient is φ = 131899578624000.

The previous prime is 463143250466389. The next prime is 463143250466459. The reversal of 463143250466424 is 424664052341364.

463143250466424 is a `hidden beast` number, since 4 + 6 + 3 + 1 + 4 + 32 + 504 + 66 + 42 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (463143250466389) and next prime (463143250466459).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100077094 + ... + 104602634.

Almost surely, 2^{463143250466424} is an apocalyptic number.

463143250466424 is a gapful number since it is divisible by the number (44) 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 463143250466424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730979935063560).

463143250466424 is an abundant number, since it is smaller than the sum of its proper divisors (998816619660696).

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

463143250466424 is a wasteful number, since it uses less digits than its factorization.

463143250466424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526283 (or 4526265 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 54.

The spelling of 463143250466424 in words is "four hundred sixty-three trillion, one hundred forty-three billion, two hundred fifty million, four hundred sixty-six thousand, four hundred twenty-four".