463024446746268 has 96 divisors (see below), whose sum is σ = 1196314798387968. Its totient is φ = 138202854451200.

The previous prime is 463024446746249. The next prime is 463024446746363. The reversal of 463024446746268 is 862647644420364.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 463024446746199 and 463024446746208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88888038 + ... + 93952818.

It is an arithmetic number, because the mean of its divisors is an integer number (12461612483208).

Almost surely, 2^{463024446746268} 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 463024446746268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598157399193984).

463024446746268 is an abundant number, since it is smaller than the sum of its proper divisors (733290351641700).

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

463024446746268 is a wasteful number, since it uses less digits than its factorization.

463024446746268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075203 (or 5075201 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 66.

The spelling of 463024446746268 in words is "four hundred sixty-three trillion, twenty-four billion, four hundred forty-six million, seven hundred forty-six thousand, two hundred sixty-eight".